10(x-3)=8x-12

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Solution for 10(x-3)=8x-12 equation:


Simplifying
10(x + -3) = 8x + -12

Reorder the terms:
10(-3 + x) = 8x + -12
(-3 * 10 + x * 10) = 8x + -12
(-30 + 10x) = 8x + -12

Reorder the terms:
-30 + 10x = -12 + 8x

Solving
-30 + 10x = -12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-30 + 10x + -8x = -12 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-30 + 2x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-30 + 2x = -12 + 0
-30 + 2x = -12

Add '30' to each side of the equation.
-30 + 30 + 2x = -12 + 30

Combine like terms: -30 + 30 = 0
0 + 2x = -12 + 30
2x = -12 + 30

Combine like terms: -12 + 30 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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