5x+154=12x-7

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Solution for 5x+154=12x-7 equation:


Simplifying
5x + 154 = 12x + -7

Reorder the terms:
154 + 5x = 12x + -7

Reorder the terms:
154 + 5x = -7 + 12x

Solving
154 + 5x = -7 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
154 + 5x + -12x = -7 + 12x + -12x

Combine like terms: 5x + -12x = -7x
154 + -7x = -7 + 12x + -12x

Combine like terms: 12x + -12x = 0
154 + -7x = -7 + 0
154 + -7x = -7

Add '-154' to each side of the equation.
154 + -154 + -7x = -7 + -154

Combine like terms: 154 + -154 = 0
0 + -7x = -7 + -154
-7x = -7 + -154

Combine like terms: -7 + -154 = -161
-7x = -161

Divide each side by '-7'.
x = 23

Simplifying
x = 23

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