5x+15=2(x-6)

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Solution for 5x+15=2(x-6) equation:


Simplifying
5x + 15 = 2(x + -6)

Reorder the terms:
15 + 5x = 2(x + -6)

Reorder the terms:
15 + 5x = 2(-6 + x)
15 + 5x = (-6 * 2 + x * 2)
15 + 5x = (-12 + 2x)

Solving
15 + 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.
15 + 5x + -2x = -12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
15 + 3x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 3x = -12 + 0
15 + 3x = -12

Add '-15' to each side of the equation.
15 + -15 + 3x = -12 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = -12 + -15
3x = -12 + -15

Combine like terms: -12 + -15 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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