11(2x+12)=10(3x-6)

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Solution for 11(2x+12)=10(3x-6) equation:


Simplifying
11(2x + 12) = 10(3x + -6)

Reorder the terms:
11(12 + 2x) = 10(3x + -6)
(12 * 11 + 2x * 11) = 10(3x + -6)
(132 + 22x) = 10(3x + -6)

Reorder the terms:
132 + 22x = 10(-6 + 3x)
132 + 22x = (-6 * 10 + 3x * 10)
132 + 22x = (-60 + 30x)

Solving
132 + 22x = -60 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
132 + 22x + -30x = -60 + 30x + -30x

Combine like terms: 22x + -30x = -8x
132 + -8x = -60 + 30x + -30x

Combine like terms: 30x + -30x = 0
132 + -8x = -60 + 0
132 + -8x = -60

Add '-132' to each side of the equation.
132 + -132 + -8x = -60 + -132

Combine like terms: 132 + -132 = 0
0 + -8x = -60 + -132
-8x = -60 + -132

Combine like terms: -60 + -132 = -192
-8x = -192

Divide each side by '-8'.
x = 24

Simplifying
x = 24

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