(3x-5)(6x-7)=(3x+2)(9x-13)-(3x+1)(3x-1)

Simple and best practice solution for (3x-5)(6x-7)=(3x+2)(9x-13)-(3x+1)(3x-1) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (3x-5)(6x-7)=(3x+2)(9x-13)-(3x+1)(3x-1) equation:


Simplifying
(3x + -5)(6x + -7) = (3x + 2)(9x + -13) + -1(3x + 1)(3x + -1)

Reorder the terms:
(-5 + 3x)(6x + -7) = (3x + 2)(9x + -13) + -1(3x + 1)(3x + -1)

Reorder the terms:
(-5 + 3x)(-7 + 6x) = (3x + 2)(9x + -13) + -1(3x + 1)(3x + -1)

Multiply (-5 + 3x) * (-7 + 6x)
(-5(-7 + 6x) + 3x * (-7 + 6x)) = (3x + 2)(9x + -13) + -1(3x + 1)(3x + -1)
((-7 * -5 + 6x * -5) + 3x * (-7 + 6x)) = (3x + 2)(9x + -13) + -1(3x + 1)(3x + -1)
((35 + -30x) + 3x * (-7 + 6x)) = (3x + 2)(9x + -13) + -1(3x + 1)(3x + -1)
(35 + -30x + (-7 * 3x + 6x * 3x)) = (3x + 2)(9x + -13) + -1(3x + 1)(3x + -1)
(35 + -30x + (-21x + 18x2)) = (3x + 2)(9x + -13) + -1(3x + 1)(3x + -1)

Combine like terms: -30x + -21x = -51x
(35 + -51x + 18x2) = (3x + 2)(9x + -13) + -1(3x + 1)(3x + -1)

Reorder the terms:
35 + -51x + 18x2 = (2 + 3x)(9x + -13) + -1(3x + 1)(3x + -1)

Reorder the terms:
35 + -51x + 18x2 = (2 + 3x)(-13 + 9x) + -1(3x + 1)(3x + -1)

Multiply (2 + 3x) * (-13 + 9x)
35 + -51x + 18x2 = (2(-13 + 9x) + 3x * (-13 + 9x)) + -1(3x + 1)(3x + -1)
35 + -51x + 18x2 = ((-13 * 2 + 9x * 2) + 3x * (-13 + 9x)) + -1(3x + 1)(3x + -1)
35 + -51x + 18x2 = ((-26 + 18x) + 3x * (-13 + 9x)) + -1(3x + 1)(3x + -1)
35 + -51x + 18x2 = (-26 + 18x + (-13 * 3x + 9x * 3x)) + -1(3x + 1)(3x + -1)
35 + -51x + 18x2 = (-26 + 18x + (-39x + 27x2)) + -1(3x + 1)(3x + -1)

Combine like terms: 18x + -39x = -21x
35 + -51x + 18x2 = (-26 + -21x + 27x2) + -1(3x + 1)(3x + -1)

Reorder the terms:
35 + -51x + 18x2 = -26 + -21x + 27x2 + -1(1 + 3x)(3x + -1)

Reorder the terms:
35 + -51x + 18x2 = -26 + -21x + 27x2 + -1(1 + 3x)(-1 + 3x)

Multiply (1 + 3x) * (-1 + 3x)
35 + -51x + 18x2 = -26 + -21x + 27x2 + -1(1(-1 + 3x) + 3x * (-1 + 3x))
35 + -51x + 18x2 = -26 + -21x + 27x2 + -1((-1 * 1 + 3x * 1) + 3x * (-1 + 3x))
35 + -51x + 18x2 = -26 + -21x + 27x2 + -1((-1 + 3x) + 3x * (-1 + 3x))
35 + -51x + 18x2 = -26 + -21x + 27x2 + -1(-1 + 3x + (-1 * 3x + 3x * 3x))
35 + -51x + 18x2 = -26 + -21x + 27x2 + -1(-1 + 3x + (-3x + 9x2))

Combine like terms: 3x + -3x = 0
35 + -51x + 18x2 = -26 + -21x + 27x2 + -1(-1 + 0 + 9x2)
35 + -51x + 18x2 = -26 + -21x + 27x2 + -1(-1 + 9x2)
35 + -51x + 18x2 = -26 + -21x + 27x2 + (-1 * -1 + 9x2 * -1)
35 + -51x + 18x2 = -26 + -21x + 27x2 + (1 + -9x2)

Reorder the terms:
35 + -51x + 18x2 = -26 + 1 + -21x + 27x2 + -9x2

Combine like terms: -26 + 1 = -25
35 + -51x + 18x2 = -25 + -21x + 27x2 + -9x2

Combine like terms: 27x2 + -9x2 = 18x2
35 + -51x + 18x2 = -25 + -21x + 18x2

Add '-18x2' to each side of the equation.
35 + -51x + 18x2 + -18x2 = -25 + -21x + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
35 + -51x + 0 = -25 + -21x + 18x2 + -18x2
35 + -51x = -25 + -21x + 18x2 + -18x2

Combine like terms: 18x2 + -18x2 = 0
35 + -51x = -25 + -21x + 0
35 + -51x = -25 + -21x

Solving
35 + -51x = -25 + -21x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '21x' to each side of the equation.
35 + -51x + 21x = -25 + -21x + 21x

Combine like terms: -51x + 21x = -30x
35 + -30x = -25 + -21x + 21x

Combine like terms: -21x + 21x = 0
35 + -30x = -25 + 0
35 + -30x = -25

Add '-35' to each side of the equation.
35 + -35 + -30x = -25 + -35

Combine like terms: 35 + -35 = 0
0 + -30x = -25 + -35
-30x = -25 + -35

Combine like terms: -25 + -35 = -60
-30x = -60

Divide each side by '-30'.
x = 2

Simplifying
x = 2

See similar equations:

| 5y+2(y-3)=3(y+1)-2 | | x-3i*x+3i= | | 9x+2/3=4 | | x-3i*x+3i=f(x) | | 49=-7(x+1) | | 3x+6.2=2 | | 3x+2=6.2 | | x^3+(2a+1)x^2+(a^2+2a-1)x(a^2-1)= | | 5(x-2)-8(x-1)=3x-10 | | 2-.44x=-6 | | 3sinx+4cosy=5 | | 3x(x-5)-9x=-30 | | 1/2(x/3+1)=x/4-2 | | (3x+2)(2x-6)=(4-3x)(1-2x)-1 | | 7-3y^2=5y | | z-2/5= | | z/5-2= | | .57w-4=16 | | 6x+46=8x-14 | | z-5/2= | | 14x/9-4/9=16/9 | | 14n/9+4/9= | | 4+91x=52x+28 | | 14n/9+4/9=16/9 | | x/5+1/4=3/20 | | 12+.75=-15 | | -(-4x-2y+5)= | | ln(x-2)+(2x+1)=5 | | 11+.75y=-15 | | (3b+4)(2b+7)= | | 7x+24=2x+56 | | (-14x^6-9x^5-12x^2)-(4x^4-14x^3+11)= |

Equations solver categories