2(x+3)-8=4x+2

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


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

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

Reorder the terms:
6 + -8 + 2x = 4x + 2

Combine like terms: 6 + -8 = -2
-2 + 2x = 4x + 2

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

Solving
-2 + 2x = 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.
-2 + 2x + -4x = 2 + 4x + -4x

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

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

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

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

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

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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