(3x+2)+(-x+5)=x-7

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Solution for (3x+2)+(-x+5)=x-7 equation:


Simplifying
(3x + 2) + (-1x + 5) = x + -7

Reorder the terms:
(2 + 3x) + (-1x + 5) = x + -7

Remove parenthesis around (2 + 3x)
2 + 3x + (-1x + 5) = x + -7

Reorder the terms:
2 + 3x + (5 + -1x) = x + -7

Remove parenthesis around (5 + -1x)
2 + 3x + 5 + -1x = x + -7

Reorder the terms:
2 + 5 + 3x + -1x = x + -7

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

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

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

Solving
7 + 2x = -7 + 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.
7 + 2x + -1x = -7 + x + -1x

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

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

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

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

Combine like terms: -7 + -7 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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