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

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


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

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

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

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

Combine like terms: -12 + 2 = -10
2 + 2x = -10 + 4x

Solving
2 + 2x = -10 + 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 = -10 + 4x + -4x

Combine like terms: 2x + -4x = -2x
2 + -2x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -2x = -10 + 0
2 + -2x = -10

Add '-2' to each side of the equation.
2 + -2 + -2x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -10 + -2
-2x = -10 + -2

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

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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