(x-3)(4x+5)=(2x-6)(2x-1)

Simple and best practice solution for (x-3)(4x+5)=(2x-6)(2x-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 (x-3)(4x+5)=(2x-6)(2x-1) equation:


Simplifying
(x + -3)(4x + 5) = (2x + -6)(2x + -1)

Reorder the terms:
(-3 + x)(4x + 5) = (2x + -6)(2x + -1)

Reorder the terms:
(-3 + x)(5 + 4x) = (2x + -6)(2x + -1)

Multiply (-3 + x) * (5 + 4x)
(-3(5 + 4x) + x(5 + 4x)) = (2x + -6)(2x + -1)
((5 * -3 + 4x * -3) + x(5 + 4x)) = (2x + -6)(2x + -1)
((-15 + -12x) + x(5 + 4x)) = (2x + -6)(2x + -1)
(-15 + -12x + (5 * x + 4x * x)) = (2x + -6)(2x + -1)
(-15 + -12x + (5x + 4x2)) = (2x + -6)(2x + -1)

Combine like terms: -12x + 5x = -7x
(-15 + -7x + 4x2) = (2x + -6)(2x + -1)

Reorder the terms:
-15 + -7x + 4x2 = (-6 + 2x)(2x + -1)

Reorder the terms:
-15 + -7x + 4x2 = (-6 + 2x)(-1 + 2x)

Multiply (-6 + 2x) * (-1 + 2x)
-15 + -7x + 4x2 = (-6(-1 + 2x) + 2x * (-1 + 2x))
-15 + -7x + 4x2 = ((-1 * -6 + 2x * -6) + 2x * (-1 + 2x))
-15 + -7x + 4x2 = ((6 + -12x) + 2x * (-1 + 2x))
-15 + -7x + 4x2 = (6 + -12x + (-1 * 2x + 2x * 2x))
-15 + -7x + 4x2 = (6 + -12x + (-2x + 4x2))

Combine like terms: -12x + -2x = -14x
-15 + -7x + 4x2 = (6 + -14x + 4x2)

Add '-4x2' to each side of the equation.
-15 + -7x + 4x2 + -4x2 = 6 + -14x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-15 + -7x + 0 = 6 + -14x + 4x2 + -4x2
-15 + -7x = 6 + -14x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-15 + -7x = 6 + -14x + 0
-15 + -7x = 6 + -14x

Solving
-15 + -7x = 6 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-15 + -7x + 14x = 6 + -14x + 14x

Combine like terms: -7x + 14x = 7x
-15 + 7x = 6 + -14x + 14x

Combine like terms: -14x + 14x = 0
-15 + 7x = 6 + 0
-15 + 7x = 6

Add '15' to each side of the equation.
-15 + 15 + 7x = 6 + 15

Combine like terms: -15 + 15 = 0
0 + 7x = 6 + 15
7x = 6 + 15

Combine like terms: 6 + 15 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

See similar equations:

| n/2+5/3=1/6 | | 5(3x-1)+4=10x+6 | | X^3+X^2-21X-48=0 | | 4x^2+9x=0 | | 2x+11=6x+3 | | ln(4x)=5 | | x+6=6x+1 | | 2x^2+14x-45=0 | | (x+4)(x+2)=(x-2)(x+9) | | 125+12.5x-0.30x^2= | | 4(3x-3)+7=3x+15 | | 6t-6=18 | | 2(3x+5)-4(x-5)=2 | | 6t-=18 | | 0=x(7-x) | | 5x^2+8x=-2 | | 6-4x+12=10 | | -3(x-2)=0.6(x+1) | | 10x=x+54 | | 3(x-5)-4=2 | | 4a+1+2a-13=0 | | 25x^2-25x-100=0 | | 2x^2-2x-10=0 | | 2x+12=8x-18 | | 3(x-5)-4=12 | | 2a(y-7)=8 | | (6*5)+42= | | 6(x+2)=(6x+12) | | 6x+8=3x+20 | | 3x+2x=40 | | 10d+1=9d+5 | | 5x^2-4x-20=0 |

Equations solver categories