-(-3+x)+4=2(x+3)-6x+7

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Solution for -(-3+x)+4=2(x+3)-6x+7 equation:


Simplifying
-1(-3 + x) + 4 = 2(x + 3) + -6x + 7
(-3 * -1 + x * -1) + 4 = 2(x + 3) + -6x + 7
(3 + -1x) + 4 = 2(x + 3) + -6x + 7

Reorder the terms:
3 + 4 + -1x = 2(x + 3) + -6x + 7

Combine like terms: 3 + 4 = 7
7 + -1x = 2(x + 3) + -6x + 7

Reorder the terms:
7 + -1x = 2(3 + x) + -6x + 7
7 + -1x = (3 * 2 + x * 2) + -6x + 7
7 + -1x = (6 + 2x) + -6x + 7

Reorder the terms:
7 + -1x = 6 + 7 + 2x + -6x

Combine like terms: 6 + 7 = 13
7 + -1x = 13 + 2x + -6x

Combine like terms: 2x + -6x = -4x
7 + -1x = 13 + -4x

Solving
7 + -1x = 13 + -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.
7 + -1x + 4x = 13 + -4x + 4x

Combine like terms: -1x + 4x = 3x
7 + 3x = 13 + -4x + 4x

Combine like terms: -4x + 4x = 0
7 + 3x = 13 + 0
7 + 3x = 13

Add '-7' to each side of the equation.
7 + -7 + 3x = 13 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 13 + -7
3x = 13 + -7

Combine like terms: 13 + -7 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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