5x-2(x-6)=2+4x

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Solution for 5x-2(x-6)=2+4x equation:


Simplifying
5x + -2(x + -6) = 2 + 4x

Reorder the terms:
5x + -2(-6 + x) = 2 + 4x
5x + (-6 * -2 + x * -2) = 2 + 4x
5x + (12 + -2x) = 2 + 4x

Reorder the terms:
12 + 5x + -2x = 2 + 4x

Combine like terms: 5x + -2x = 3x
12 + 3x = 2 + 4x

Solving
12 + 3x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
12 + 3x + -4x = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
12 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -1x = 2 + 0
12 + -1x = 2

Add '-12' to each side of the equation.
12 + -12 + -1x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 2 + -12
-1x = 2 + -12

Combine like terms: 2 + -12 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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