10x-10=3x-12

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Solution for 10x-10=3x-12 equation:


Simplifying
10x + -10 = 3x + -12

Reorder the terms:
-10 + 10x = 3x + -12

Reorder the terms:
-10 + 10x = -12 + 3x

Solving
-10 + 10x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 10x + -3x = -12 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-10 + 7x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 7x = -12 + 0
-10 + 7x = -12

Add '10' to each side of the equation.
-10 + 10 + 7x = -12 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = -12 + 10
7x = -12 + 10

Combine like terms: -12 + 10 = -2
7x = -2

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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