44+-(2x+15)=2(x+7)+x

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Solution for 44+-(2x+15)=2(x+7)+x equation:


Simplifying
44 + -1(2x + 15) = 2(x + 7) + x

Reorder the terms:
44 + -1(15 + 2x) = 2(x + 7) + x
44 + (15 * -1 + 2x * -1) = 2(x + 7) + x
44 + (-15 + -2x) = 2(x + 7) + x

Combine like terms: 44 + -15 = 29
29 + -2x = 2(x + 7) + x

Reorder the terms:
29 + -2x = 2(7 + x) + x
29 + -2x = (7 * 2 + x * 2) + x
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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