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

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


Simplifying
8(4 + -1x) = 5(-2 + -1x)
(4 * 8 + -1x * 8) = 5(-2 + -1x)
(32 + -8x) = 5(-2 + -1x)
32 + -8x = (-2 * 5 + -1x * 5)
32 + -8x = (-10 + -5x)

Solving
32 + -8x = -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 + -8x + 5x = -10 + -5x + 5x

Combine like terms: -8x + 5x = -3x
32 + -3x = -10 + -5x + 5x

Combine like terms: -5x + 5x = 0
32 + -3x = -10 + 0
32 + -3x = -10

Add '-32' to each side of the equation.
32 + -32 + -3x = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -3x = -10 + -32
-3x = -10 + -32

Combine like terms: -10 + -32 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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