5x-3x-12=10x-2

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Solution for 5x-3x-12=10x-2 equation:


Simplifying
5x + -3x + -12 = 10x + -2

Reorder the terms:
-12 + 5x + -3x = 10x + -2

Combine like terms: 5x + -3x = 2x
-12 + 2x = 10x + -2

Reorder the terms:
-12 + 2x = -2 + 10x

Solving
-12 + 2x = -2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-12 + 2x + -10x = -2 + 10x + -10x

Combine like terms: 2x + -10x = -8x
-12 + -8x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + -8x = -2 + 0
-12 + -8x = -2

Add '12' to each side of the equation.
-12 + 12 + -8x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + -8x = -2 + 12
-8x = -2 + 12

Combine like terms: -2 + 12 = 10
-8x = 10

Divide each side by '-8'.
x = -1.25

Simplifying
x = -1.25

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