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

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


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

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

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

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

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

Solving
-6 + 6x = 2 + 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.
-6 + 6x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-6 + 4x = 2 + 0
-6 + 4x = 2

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

Combine like terms: -6 + 6 = 0
0 + 4x = 2 + 6
4x = 2 + 6

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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