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

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


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

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

Combine like terms: -3 + -4 = -7
-7 + x + 2x = 2(x + 1)

Combine like terms: x + 2x = 3x
-7 + 3x = 2(x + 1)

Reorder the terms:
-7 + 3x = 2(1 + x)
-7 + 3x = (1 * 2 + x * 2)
-7 + 3x = (2 + 2x)

Solving
-7 + 3x = 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.
-7 + 3x + -2x = 2 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-7 + 1x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 1x = 2 + 0
-7 + 1x = 2

Add '7' to each side of the equation.
-7 + 7 + 1x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 2 + 7
1x = 2 + 7

Combine like terms: 2 + 7 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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