-4(x-1)=5(x+8)

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Solution for -4(x-1)=5(x+8) equation:


Simplifying
-4(x + -1) = 5(x + 8)

Reorder the terms:
-4(-1 + x) = 5(x + 8)
(-1 * -4 + x * -4) = 5(x + 8)
(4 + -4x) = 5(x + 8)

Reorder the terms:
4 + -4x = 5(8 + x)
4 + -4x = (8 * 5 + x * 5)
4 + -4x = (40 + 5x)

Solving
4 + -4x = 40 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + -4x + -5x = 40 + 5x + -5x

Combine like terms: -4x + -5x = -9x
4 + -9x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -9x = 40 + 0
4 + -9x = 40

Add '-4' to each side of the equation.
4 + -4 + -9x = 40 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 40 + -4
-9x = 40 + -4

Combine like terms: 40 + -4 = 36
-9x = 36

Divide each side by '-9'.
x = -4

Simplifying
x = -4

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