3x-120=-6x+51

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Solution for 3x-120=-6x+51 equation:


Simplifying
3x + -120 = -6x + 51

Reorder the terms:
-120 + 3x = -6x + 51

Reorder the terms:
-120 + 3x = 51 + -6x

Solving
-120 + 3x = 51 + -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.
-120 + 3x + 6x = 51 + -6x + 6x

Combine like terms: 3x + 6x = 9x
-120 + 9x = 51 + -6x + 6x

Combine like terms: -6x + 6x = 0
-120 + 9x = 51 + 0
-120 + 9x = 51

Add '120' to each side of the equation.
-120 + 120 + 9x = 51 + 120

Combine like terms: -120 + 120 = 0
0 + 9x = 51 + 120
9x = 51 + 120

Combine like terms: 51 + 120 = 171
9x = 171

Divide each side by '9'.
x = 19

Simplifying
x = 19

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