34+5x=2(-x+8)-24

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Solution for 34+5x=2(-x+8)-24 equation:


Simplifying
34 + 5x = 2(-1x + 8) + -24

Reorder the terms:
34 + 5x = 2(8 + -1x) + -24
34 + 5x = (8 * 2 + -1x * 2) + -24
34 + 5x = (16 + -2x) + -24

Reorder the terms:
34 + 5x = 16 + -24 + -2x

Combine like terms: 16 + -24 = -8
34 + 5x = -8 + -2x

Solving
34 + 5x = -8 + -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.
34 + 5x + 2x = -8 + -2x + 2x

Combine like terms: 5x + 2x = 7x
34 + 7x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
34 + 7x = -8 + 0
34 + 7x = -8

Add '-34' to each side of the equation.
34 + -34 + 7x = -8 + -34

Combine like terms: 34 + -34 = 0
0 + 7x = -8 + -34
7x = -8 + -34

Combine like terms: -8 + -34 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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