2x+30=3x-10+7x-32+180

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Solution for 2x+30=3x-10+7x-32+180 equation:


Simplifying
2x + 30 = 3x + -10 + 7x + -32 + 180

Reorder the terms:
30 + 2x = 3x + -10 + 7x + -32 + 180

Reorder the terms:
30 + 2x = -10 + -32 + 180 + 3x + 7x

Combine like terms: -10 + -32 = -42
30 + 2x = -42 + 180 + 3x + 7x

Combine like terms: -42 + 180 = 138
30 + 2x = 138 + 3x + 7x

Combine like terms: 3x + 7x = 10x
30 + 2x = 138 + 10x

Solving
30 + 2x = 138 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
30 + 2x + -10x = 138 + 10x + -10x

Combine like terms: 2x + -10x = -8x
30 + -8x = 138 + 10x + -10x

Combine like terms: 10x + -10x = 0
30 + -8x = 138 + 0
30 + -8x = 138

Add '-30' to each side of the equation.
30 + -30 + -8x = 138 + -30

Combine like terms: 30 + -30 = 0
0 + -8x = 138 + -30
-8x = 138 + -30

Combine like terms: 138 + -30 = 108
-8x = 108

Divide each side by '-8'.
x = -13.5

Simplifying
x = -13.5

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