x+15=2(2x-27)

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Solution for x+15=2(2x-27) equation:


Simplifying
x + 15 = 2(2x + -27)

Reorder the terms:
15 + x = 2(2x + -27)

Reorder the terms:
15 + x = 2(-27 + 2x)
15 + x = (-27 * 2 + 2x * 2)
15 + x = (-54 + 4x)

Solving
15 + x = -54 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + x + -4x = -54 + 4x + -4x

Combine like terms: x + -4x = -3x
15 + -3x = -54 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -3x = -54 + 0
15 + -3x = -54

Add '-15' to each side of the equation.
15 + -15 + -3x = -54 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -54 + -15
-3x = -54 + -15

Combine like terms: -54 + -15 = -69
-3x = -69

Divide each side by '-3'.
x = 23

Simplifying
x = 23

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