5-3(x-7)-2(2-x)=8

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Solution for 5-3(x-7)-2(2-x)=8 equation: 


Simplifying
5 + -3(x + -7) + -2(2 + -1x) = 8

Reorder the terms:
5 + -3(-7 + x) + -2(2 + -1x) = 8
5 + (-7 * -3 + x * -3) + -2(2 + -1x) = 8
5 + (21 + -3x) + -2(2 + -1x) = 8
5 + 21 + -3x + (2 * -2 + -1x * -2) = 8
5 + 21 + -3x + (-4 + 2x) = 8

Reorder the terms:
5 + 21 + -4 + -3x + 2x = 8

Combine like terms: 5 + 21 = 26
26 + -4 + -3x + 2x = 8

Combine like terms: 26 + -4 = 22
22 + -3x + 2x = 8

Combine like terms: -3x + 2x = -1x
22 + -1x = 8

Solving
22 + -1x = 8

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -1x = 8 + -22

Combine like terms: 22 + -22 = 0
0 + -1x = 8 + -22
-1x = 8 + -22

Combine like terms: 8 + -22 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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