7x-3=12x+7

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


Simplifying
7x + -3 = 12x + 7

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

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

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

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

Combine like terms: 12x + -12x = 0
-3 + -5x = 7 + 0
-3 + -5x = 7

Add '3' to each side of the equation.
-3 + 3 + -5x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 7 + 3
-5x = 7 + 3

Combine like terms: 7 + 3 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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