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

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


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

Reorder the terms:
4(8 + x) = 5(x + -5)
(8 * 4 + x * 4) = 5(x + -5)
(32 + 4x) = 5(x + -5)

Reorder the terms:
32 + 4x = 5(-5 + x)
32 + 4x = (-5 * 5 + x * 5)
32 + 4x = (-25 + 5x)

Solving
32 + 4x = -25 + 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.
32 + 4x + -5x = -25 + 5x + -5x

Combine like terms: 4x + -5x = -1x
32 + -1x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + -1x = -25 + 0
32 + -1x = -25

Add '-32' to each side of the equation.
32 + -32 + -1x = -25 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = -25 + -32
-1x = -25 + -32

Combine like terms: -25 + -32 = -57
-1x = -57

Divide each side by '-1'.
x = 57

Simplifying
x = 57

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