(x-7)(3x+4)=(2x-1)(x-8)

Simple and best practice solution for (x-7)(3x+4)=(2x-1)(x-8) 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-7)(3x+4)=(2x-1)(x-8) equation: 


Simplifying
(x + -7)(3x + 4) = (2x + -1)(x + -8)

Reorder the terms:
(-7 + x)(3x + 4) = (2x + -1)(x + -8)

Reorder the terms:
(-7 + x)(4 + 3x) = (2x + -1)(x + -8)

Multiply (-7 + x) * (4 + 3x)
(-7(4 + 3x) + x(4 + 3x)) = (2x + -1)(x + -8)
((4 * -7 + 3x * -7) + x(4 + 3x)) = (2x + -1)(x + -8)
((-28 + -21x) + x(4 + 3x)) = (2x + -1)(x + -8)
(-28 + -21x + (4 * x + 3x * x)) = (2x + -1)(x + -8)
(-28 + -21x + (4x + 3x2)) = (2x + -1)(x + -8)

Combine like terms: -21x + 4x = -17x
(-28 + -17x + 3x2) = (2x + -1)(x + -8)

Reorder the terms:
-28 + -17x + 3x2 = (-1 + 2x)(x + -8)

Reorder the terms:
-28 + -17x + 3x2 = (-1 + 2x)(-8 + x)

Multiply (-1 + 2x) * (-8 + x)
-28 + -17x + 3x2 = (-1(-8 + x) + 2x * (-8 + x))
-28 + -17x + 3x2 = ((-8 * -1 + x * -1) + 2x * (-8 + x))
-28 + -17x + 3x2 = ((8 + -1x) + 2x * (-8 + x))
-28 + -17x + 3x2 = (8 + -1x + (-8 * 2x + x * 2x))
-28 + -17x + 3x2 = (8 + -1x + (-16x + 2x2))

Combine like terms: -1x + -16x = -17x
-28 + -17x + 3x2 = (8 + -17x + 2x2)

Add '17x' to each side of the equation.
-28 + -17x + 17x + 3x2 = 8 + -17x + 17x + 2x2

Combine like terms: -17x + 17x = 0
-28 + 0 + 3x2 = 8 + -17x + 17x + 2x2
-28 + 3x2 = 8 + -17x + 17x + 2x2

Combine like terms: -17x + 17x = 0
-28 + 3x2 = 8 + 0 + 2x2
-28 + 3x2 = 8 + 2x2

Solving
-28 + 3x2 = 8 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-28 + 3x2 + -2x2 = 8 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-28 + 1x2 = 8 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-28 + 1x2 = 8 + 0
-28 + 1x2 = 8

Add '28' to each side of the equation.
-28 + 28 + 1x2 = 8 + 28

Combine like terms: -28 + 28 = 0
0 + 1x2 = 8 + 28
1x2 = 8 + 28

Combine like terms: 8 + 28 = 36
1x2 = 36

Divide each side by '1'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

See similar equations:

| 3(x-4)-4(2x-7)=2(x+5) | | 10x+x=9+4x | | n+8(n+10)=110 | | 68-5x=10+23 | | 3x-12=2x-14 | | 6x=5-4x | | 21+43+54=x | | x^2+7x-32=2x+4 | | 10=5+4x | | 75+67= | | 3(y-9)=10y-6 | | 75x+67=y | | 3-y=5 | | 32+x=1000 | | z-3z+3.4=-0.1(z+4) | | 15x^2-16xy+4y^2=0 | | 3(x-1)-7/2=4x+3 | | 60-x=23 | | 60*1=x | | 13x^2-3x=0 | | 5m-8=57 | | 5y+13=2y-2 | | ln(2x)+ln(x-3)=ln(4) | | x+x+8.31=61.43 | | 4p^2-4p-8=0 | | x^3+2=0 | | 4x+14=2x+15 | | -(x-18)+2(x+3)=6(x-1) | | 70*100+50=x | | 12x+11=75-6x | | r/2-8=-4 | | 2p^2+12p+10=0 |

Equations solver categories