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

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Solution for (x+4)(x-3)=(x-1)(x-8) equation: 


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

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

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

Multiply (4 + x) * (-3 + x)
(4(-3 + x) + x(-3 + x)) = (x + -1)(x + -8)
((-3 * 4 + x * 4) + x(-3 + x)) = (x + -1)(x + -8)
((-12 + 4x) + x(-3 + x)) = (x + -1)(x + -8)
(-12 + 4x + (-3 * x + x * x)) = (x + -1)(x + -8)
(-12 + 4x + (-3x + x2)) = (x + -1)(x + -8)

Combine like terms: 4x + -3x = 1x
(-12 + 1x + x2) = (x + -1)(x + -8)

Reorder the terms:
-12 + 1x + x2 = (-1 + x)(x + -8)

Reorder the terms:
-12 + 1x + x2 = (-1 + x)(-8 + x)

Multiply (-1 + x) * (-8 + x)
-12 + 1x + x2 = (-1(-8 + x) + x(-8 + x))
-12 + 1x + x2 = ((-8 * -1 + x * -1) + x(-8 + x))
-12 + 1x + x2 = ((8 + -1x) + x(-8 + x))
-12 + 1x + x2 = (8 + -1x + (-8 * x + x * x))
-12 + 1x + x2 = (8 + -1x + (-8x + x2))

Combine like terms: -1x + -8x = -9x
-12 + 1x + x2 = (8 + -9x + x2)

Add '-1x2' to each side of the equation.
-12 + 1x + x2 + -1x2 = 8 + -9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + 1x + 0 = 8 + -9x + x2 + -1x2
-12 + 1x = 8 + -9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-12 + 1x = 8 + -9x + 0
-12 + 1x = 8 + -9x

Solving
-12 + 1x = 8 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-12 + 1x + 9x = 8 + -9x + 9x

Combine like terms: 1x + 9x = 10x
-12 + 10x = 8 + -9x + 9x

Combine like terms: -9x + 9x = 0
-12 + 10x = 8 + 0
-12 + 10x = 8

Add '12' to each side of the equation.
-12 + 12 + 10x = 8 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 8 + 12
10x = 8 + 12

Combine like terms: 8 + 12 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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