-12x+3(x-5)+7x=5x-29

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Solution for -12x+3(x-5)+7x=5x-29 equation:


Simplifying
-12x + 3(x + -5) + 7x = 5x + -29

Reorder the terms:
-12x + 3(-5 + x) + 7x = 5x + -29
-12x + (-5 * 3 + x * 3) + 7x = 5x + -29
-12x + (-15 + 3x) + 7x = 5x + -29

Reorder the terms:
-15 + -12x + 3x + 7x = 5x + -29

Combine like terms: -12x + 3x = -9x
-15 + -9x + 7x = 5x + -29

Combine like terms: -9x + 7x = -2x
-15 + -2x = 5x + -29

Reorder the terms:
-15 + -2x = -29 + 5x

Solving
-15 + -2x = -29 + 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.
-15 + -2x + -5x = -29 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-15 + -7x = -29 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + -7x = -29 + 0
-15 + -7x = -29

Add '15' to each side of the equation.
-15 + 15 + -7x = -29 + 15

Combine like terms: -15 + 15 = 0
0 + -7x = -29 + 15
-7x = -29 + 15

Combine like terms: -29 + 15 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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