2(x+8)-4(5x-5)=32

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Solution for 2(x+8)-4(5x-5)=32 equation: 


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

Reorder the terms:
2(8 + x) + -4(5x + -5) = 32
(8 * 2 + x * 2) + -4(5x + -5) = 32
(16 + 2x) + -4(5x + -5) = 32

Reorder the terms:
16 + 2x + -4(-5 + 5x) = 32
16 + 2x + (-5 * -4 + 5x * -4) = 32
16 + 2x + (20 + -20x) = 32

Reorder the terms:
16 + 20 + 2x + -20x = 32

Combine like terms: 16 + 20 = 36
36 + 2x + -20x = 32

Combine like terms: 2x + -20x = -18x
36 + -18x = 32

Solving
36 + -18x = 32

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + -18x = 32 + -36

Combine like terms: 36 + -36 = 0
0 + -18x = 32 + -36
-18x = 32 + -36

Combine like terms: 32 + -36 = -4
-18x = -4

Divide each side by '-18'.
x = 0.2222222222

Simplifying
x = 0.2222222222

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