3x-8=-x+7

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Solution for 3x-8=-x+7 equation:


Simplifying
3x + -8 = -1x + 7

Reorder the terms:
-8 + 3x = -1x + 7

Reorder the terms:
-8 + 3x = 7 + -1x

Solving
-8 + 3x = 7 + -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.
-8 + 3x + x = 7 + -1x + x

Combine like terms: 3x + x = 4x
-8 + 4x = 7 + -1x + x

Combine like terms: -1x + x = 0
-8 + 4x = 7 + 0
-8 + 4x = 7

Add '8' to each side of the equation.
-8 + 8 + 4x = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 7 + 8
4x = 7 + 8

Combine like terms: 7 + 8 = 15
4x = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75

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