(5x+10)=(2x-12)

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Solution for (5x+10)=(2x-12) equation:


Simplifying
(5x + 10) = (2x + -12)

Reorder the terms:
(10 + 5x) = (2x + -12)

Remove parenthesis around (10 + 5x)
10 + 5x = (2x + -12)

Reorder the terms:
10 + 5x = (-12 + 2x)

Remove parenthesis around (-12 + 2x)
10 + 5x = -12 + 2x

Solving
10 + 5x = -12 + 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.
10 + 5x + -2x = -12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
10 + 3x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 3x = -12 + 0
10 + 3x = -12

Add '-10' to each side of the equation.
10 + -10 + 3x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = -12 + -10
3x = -12 + -10

Combine like terms: -12 + -10 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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