2x-3(2x+4)=2x+6

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


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

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

Reorder the terms:
-12 + 2x + -6x = 2x + 6

Combine like terms: 2x + -6x = -4x
-12 + -4x = 2x + 6

Reorder the terms:
-12 + -4x = 6 + 2x

Solving
-12 + -4x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + -4x + -2x = 6 + 2x + -2x

Combine like terms: -4x + -2x = -6x
-12 + -6x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + -6x = 6 + 0
-12 + -6x = 6

Add '12' to each side of the equation.
-12 + 12 + -6x = 6 + 12

Combine like terms: -12 + 12 = 0
0 + -6x = 6 + 12
-6x = 6 + 12

Combine like terms: 6 + 12 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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