4(x+8)=5(x-2)

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Solution for 4(x+8)=5(x-2) equation: 


Simplifying
4(x + 8) = 5(x + -2)

Reorder the terms:
4(8 + x) = 5(x + -2)
(8 * 4 + x * 4) = 5(x + -2)
(32 + 4x) = 5(x + -2)

Reorder the terms:
32 + 4x = 5(-2 + x)
32 + 4x = (-2 * 5 + x * 5)
32 + 4x = (-10 + 5x)

Solving
32 + 4x = -10 + 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 = -10 + 5x + -5x

Combine like terms: 4x + -5x = -1x
32 + -1x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + -1x = -10 + 0
32 + -1x = -10

Add '-32' to each side of the equation.
32 + -32 + -1x = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = -10 + -32
-1x = -10 + -32

Combine like terms: -10 + -32 = -42
-1x = -42

Divide each side by '-1'.
x = 42

Simplifying
x = 42

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