7x+8=12x-3

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Solution for 7x+8=12x-3 equation:


Simplifying
7x + 8 = 12x + -3

Reorder the terms:
8 + 7x = 12x + -3

Reorder the terms:
8 + 7x = -3 + 12x

Solving
8 + 7x = -3 + 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.
8 + 7x + -12x = -3 + 12x + -12x

Combine like terms: 7x + -12x = -5x
8 + -5x = -3 + 12x + -12x

Combine like terms: 12x + -12x = 0
8 + -5x = -3 + 0
8 + -5x = -3

Add '-8' to each side of the equation.
8 + -8 + -5x = -3 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = -3 + -8
-5x = -3 + -8

Combine like terms: -3 + -8 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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