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

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


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

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

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

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

Combine like terms: 3x + 2x = 5x
1 + 5x = 4x + -7

Reorder the terms:
1 + 5x = -7 + 4x

Solving
1 + 5x = -7 + 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.
1 + 5x + -4x = -7 + 4x + -4x

Combine like terms: 5x + -4x = 1x
1 + 1x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + 1x = -7 + 0
1 + 1x = -7

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

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

Combine like terms: -7 + -1 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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