x-5=-3x+1+2x-7

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Solution for x-5=-3x+1+2x-7 equation:


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

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

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

Combine like terms: 1 + -7 = -6
-5 + x = -6 + -3x + 2x

Combine like terms: -3x + 2x = -1x
-5 + x = -6 + -1x

Solving
-5 + x = -6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + x + x = -6 + -1x + x

Combine like terms: x + x = 2x
-5 + 2x = -6 + -1x + x

Combine like terms: -1x + x = 0
-5 + 2x = -6 + 0
-5 + 2x = -6

Add '5' to each side of the equation.
-5 + 5 + 2x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -6 + 5
2x = -6 + 5

Combine like terms: -6 + 5 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5

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