(2x+15)=(6x-57)

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Solution for (2x+15)=(6x-57) equation:


Simplifying
(2x + 15) = (6x + -57)

Reorder the terms:
(15 + 2x) = (6x + -57)

Remove parenthesis around (15 + 2x)
15 + 2x = (6x + -57)

Reorder the terms:
15 + 2x = (-57 + 6x)

Remove parenthesis around (-57 + 6x)
15 + 2x = -57 + 6x

Solving
15 + 2x = -57 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 2x + -6x = -57 + 6x + -6x

Combine like terms: 2x + -6x = -4x
15 + -4x = -57 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -4x = -57 + 0
15 + -4x = -57

Add '-15' to each side of the equation.
15 + -15 + -4x = -57 + -15

Combine like terms: 15 + -15 = 0
0 + -4x = -57 + -15
-4x = -57 + -15

Combine like terms: -57 + -15 = -72
-4x = -72

Divide each side by '-4'.
x = 18

Simplifying
x = 18

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