6x+9=57-2x

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Solution for 6x+9=57-2x equation:


Simplifying
6x + 9 = 57 + -2x

Reorder the terms:
9 + 6x = 57 + -2x

Solving
9 + 6x = 57 + -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.
9 + 6x + 2x = 57 + -2x + 2x

Combine like terms: 6x + 2x = 8x
9 + 8x = 57 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 8x = 57 + 0
9 + 8x = 57

Add '-9' to each side of the equation.
9 + -9 + 8x = 57 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 57 + -9
8x = 57 + -9

Combine like terms: 57 + -9 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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