2(2-x)=8(2x+5)-7

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Solution for 2(2-x)=8(2x+5)-7 equation: 


Simplifying
2(2 + -1x) = 8(2x + 5) + -7
(2 * 2 + -1x * 2) = 8(2x + 5) + -7
(4 + -2x) = 8(2x + 5) + -7

Reorder the terms:
4 + -2x = 8(5 + 2x) + -7
4 + -2x = (5 * 8 + 2x * 8) + -7
4 + -2x = (40 + 16x) + -7

Reorder the terms:
4 + -2x = 40 + -7 + 16x

Combine like terms: 40 + -7 = 33
4 + -2x = 33 + 16x

Solving
4 + -2x = 33 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
4 + -2x + -16x = 33 + 16x + -16x

Combine like terms: -2x + -16x = -18x
4 + -18x = 33 + 16x + -16x

Combine like terms: 16x + -16x = 0
4 + -18x = 33 + 0
4 + -18x = 33

Add '-4' to each side of the equation.
4 + -4 + -18x = 33 + -4

Combine like terms: 4 + -4 = 0
0 + -18x = 33 + -4
-18x = 33 + -4

Combine like terms: 33 + -4 = 29
-18x = 29

Divide each side by '-18'.
x = -1.611111111

Simplifying
x = -1.611111111

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