10x-2(3x-6)=4(3x-6)-8

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Solution for 10x-2(3x-6)=4(3x-6)-8 equation:


Simplifying
10x + -2(3x + -6) = 4(3x + -6) + -8

Reorder the terms:
10x + -2(-6 + 3x) = 4(3x + -6) + -8
10x + (-6 * -2 + 3x * -2) = 4(3x + -6) + -8
10x + (12 + -6x) = 4(3x + -6) + -8

Reorder the terms:
12 + 10x + -6x = 4(3x + -6) + -8

Combine like terms: 10x + -6x = 4x
12 + 4x = 4(3x + -6) + -8

Reorder the terms:
12 + 4x = 4(-6 + 3x) + -8
12 + 4x = (-6 * 4 + 3x * 4) + -8
12 + 4x = (-24 + 12x) + -8

Reorder the terms:
12 + 4x = -24 + -8 + 12x

Combine like terms: -24 + -8 = -32
12 + 4x = -32 + 12x

Solving
12 + 4x = -32 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
12 + 4x + -12x = -32 + 12x + -12x

Combine like terms: 4x + -12x = -8x
12 + -8x = -32 + 12x + -12x

Combine like terms: 12x + -12x = 0
12 + -8x = -32 + 0
12 + -8x = -32

Add '-12' to each side of the equation.
12 + -12 + -8x = -32 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = -32 + -12
-8x = -32 + -12

Combine like terms: -32 + -12 = -44
-8x = -44

Divide each side by '-8'.
x = 5.5

Simplifying
x = 5.5

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