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 + x) + -8

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

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

Reorder the terms:
26 + -3x = 4 + -8 + 2x

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

Solving
26 + -3x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
26 + -3x + -2x = -4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
26 + -5x = -4 + 0
26 + -5x = -4

Add '-26' to each side of the equation.
26 + -26 + -5x = -4 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = -4 + -26
-5x = -4 + -26

Combine like terms: -4 + -26 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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