10x-3=5x+12

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


Simplifying
10x + -3 = 5x + 12

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

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

Solving
-3 + 10x = 12 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 10x + -5x = 12 + 5x + -5x

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

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 12 + 3

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

Combine like terms: 12 + 3 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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