4(x+1)-2(x+3)=x

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Solution for 4(x+1)-2(x+3)=x equation:


Simplifying
4(x + 1) + -2(x + 3) = x

Reorder the terms:
4(1 + x) + -2(x + 3) = x
(1 * 4 + x * 4) + -2(x + 3) = x
(4 + 4x) + -2(x + 3) = x

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

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

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

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

Solving
-2 + 2x = x

Solving for variable 'x'.

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

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

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

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

Add '2' to each side of the equation.
-2 + 2 + 1x = 0 + 2

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

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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