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

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


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

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

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

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

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

Solving
-57 + 6x = 15 + 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.
-57 + 6x + -2x = 15 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-57 + 4x = 15 + 0
-57 + 4x = 15

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

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

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

Divide each side by '4'.
x = 18

Simplifying
x = 18

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