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

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


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

Reorder the terms:
2(3 + x) = 5(x + -7) + 8
(3 * 2 + x * 2) = 5(x + -7) + 8
(6 + 2x) = 5(x + -7) + 8

Reorder the terms:
6 + 2x = 5(-7 + x) + 8
6 + 2x = (-7 * 5 + x * 5) + 8
6 + 2x = (-35 + 5x) + 8

Reorder the terms:
6 + 2x = -35 + 8 + 5x

Combine like terms: -35 + 8 = -27
6 + 2x = -27 + 5x

Solving
6 + 2x = -27 + 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.
6 + 2x + -5x = -27 + 5x + -5x

Combine like terms: 2x + -5x = -3x
6 + -3x = -27 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -3x = -27 + 0
6 + -3x = -27

Add '-6' to each side of the equation.
6 + -6 + -3x = -27 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -27 + -6
-3x = -27 + -6

Combine like terms: -27 + -6 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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