-x+2=3x-7

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


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

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

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

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

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -1x + -3x = -7 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -4x = -7 + 0
2 + -4x = -7

Add '-2' to each side of the equation.
2 + -2 + -4x = -7 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -7 + -2
-4x = -7 + -2

Combine like terms: -7 + -2 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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