3x+117=7x+189

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Solution for 3x+117=7x+189 equation:


Simplifying
3x + 117 = 7x + 189

Reorder the terms:
117 + 3x = 7x + 189

Reorder the terms:
117 + 3x = 189 + 7x

Solving
117 + 3x = 189 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
117 + 3x + -7x = 189 + 7x + -7x

Combine like terms: 3x + -7x = -4x
117 + -4x = 189 + 7x + -7x

Combine like terms: 7x + -7x = 0
117 + -4x = 189 + 0
117 + -4x = 189

Add '-117' to each side of the equation.
117 + -117 + -4x = 189 + -117

Combine like terms: 117 + -117 = 0
0 + -4x = 189 + -117
-4x = 189 + -117

Combine like terms: 189 + -117 = 72
-4x = 72

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

Simplifying
x = -18

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