5x+128=12x-5

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Solution for 5x+128=12x-5 equation:


Simplifying
5x + 128 = 12x + -5

Reorder the terms:
128 + 5x = 12x + -5

Reorder the terms:
128 + 5x = -5 + 12x

Solving
128 + 5x = -5 + 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.
128 + 5x + -12x = -5 + 12x + -12x

Combine like terms: 5x + -12x = -7x
128 + -7x = -5 + 12x + -12x

Combine like terms: 12x + -12x = 0
128 + -7x = -5 + 0
128 + -7x = -5

Add '-128' to each side of the equation.
128 + -128 + -7x = -5 + -128

Combine like terms: 128 + -128 = 0
0 + -7x = -5 + -128
-7x = -5 + -128

Combine like terms: -5 + -128 = -133
-7x = -133

Divide each side by '-7'.
x = 19

Simplifying
x = 19

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