11(x-3)=8x-12

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Solution for 11(x-3)=8x-12 equation:


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

Reorder the terms:
11(-3 + x) = 8x + -12
(-3 * 11 + x * 11) = 8x + -12
(-33 + 11x) = 8x + -12

Reorder the terms:
-33 + 11x = -12 + 8x

Solving
-33 + 11x = -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.
-33 + 11x + -8x = -12 + 8x + -8x

Combine like terms: 11x + -8x = 3x
-33 + 3x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-33 + 3x = -12 + 0
-33 + 3x = -12

Add '33' to each side of the equation.
-33 + 33 + 3x = -12 + 33

Combine like terms: -33 + 33 = 0
0 + 3x = -12 + 33
3x = -12 + 33

Combine like terms: -12 + 33 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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