34-(2x+5)=2x+14+x

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Solution for 34-(2x+5)=2x+14+x equation:


Simplifying
34 + -1(2x + 5) = 2x + 14 + x

Reorder the terms:
34 + -1(5 + 2x) = 2x + 14 + x
34 + (5 * -1 + 2x * -1) = 2x + 14 + x
34 + (-5 + -2x) = 2x + 14 + x

Combine like terms: 34 + -5 = 29
29 + -2x = 2x + 14 + x

Reorder the terms:
29 + -2x = 14 + 2x + x

Combine like terms: 2x + x = 3x
29 + -2x = 14 + 3x

Solving
29 + -2x = 14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
29 + -2x + -3x = 14 + 3x + -3x

Combine like terms: -2x + -3x = -5x
29 + -5x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
29 + -5x = 14 + 0
29 + -5x = 14

Add '-29' to each side of the equation.
29 + -29 + -5x = 14 + -29

Combine like terms: 29 + -29 = 0
0 + -5x = 14 + -29
-5x = 14 + -29

Combine like terms: 14 + -29 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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