5+5x=2(-x+9)-34

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Solution for 5+5x=2(-x+9)-34 equation:


Simplifying
5 + 5x = 2(-1x + 9) + -34

Reorder the terms:
5 + 5x = 2(9 + -1x) + -34
5 + 5x = (9 * 2 + -1x * 2) + -34
5 + 5x = (18 + -2x) + -34

Reorder the terms:
5 + 5x = 18 + -34 + -2x

Combine like terms: 18 + -34 = -16
5 + 5x = -16 + -2x

Solving
5 + 5x = -16 + -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.
5 + 5x + 2x = -16 + -2x + 2x

Combine like terms: 5x + 2x = 7x
5 + 7x = -16 + -2x + 2x

Combine like terms: -2x + 2x = 0
5 + 7x = -16 + 0
5 + 7x = -16

Add '-5' to each side of the equation.
5 + -5 + 7x = -16 + -5

Combine like terms: 5 + -5 = 0
0 + 7x = -16 + -5
7x = -16 + -5

Combine like terms: -16 + -5 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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