12(x-3)=10x-13

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Solution for 12(x-3)=10x-13 equation:


Simplifying
12(x + -3) = 10x + -13

Reorder the terms:
12(-3 + x) = 10x + -13
(-3 * 12 + x * 12) = 10x + -13
(-36 + 12x) = 10x + -13

Reorder the terms:
-36 + 12x = -13 + 10x

Solving
-36 + 12x = -13 + 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.
-36 + 12x + -10x = -13 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-36 + 2x = -13 + 10x + -10x

Combine like terms: 10x + -10x = 0
-36 + 2x = -13 + 0
-36 + 2x = -13

Add '36' to each side of the equation.
-36 + 36 + 2x = -13 + 36

Combine like terms: -36 + 36 = 0
0 + 2x = -13 + 36
2x = -13 + 36

Combine like terms: -13 + 36 = 23
2x = 23

Divide each side by '2'.
x = 11.5

Simplifying
x = 11.5

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