6x+21=4x-57

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Solution for 6x+21=4x-57 equation:


Simplifying
6x + 21 = 4x + -57

Reorder the terms:
21 + 6x = 4x + -57

Reorder the terms:
21 + 6x = -57 + 4x

Solving
21 + 6x = -57 + 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.
21 + 6x + -4x = -57 + 4x + -4x

Combine like terms: 6x + -4x = 2x
21 + 2x = -57 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + 2x = -57 + 0
21 + 2x = -57

Add '-21' to each side of the equation.
21 + -21 + 2x = -57 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = -57 + -21
2x = -57 + -21

Combine like terms: -57 + -21 = -78
2x = -78

Divide each side by '2'.
x = -39

Simplifying
x = -39

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