3x-7=-x+15

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Solution for 3x-7=-x+15 equation:


Simplifying
3x + -7 = -1x + 15

Reorder the terms:
-7 + 3x = -1x + 15

Reorder the terms:
-7 + 3x = 15 + -1x

Solving
-7 + 3x = 15 + -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.
-7 + 3x + x = 15 + -1x + x

Combine like terms: 3x + x = 4x
-7 + 4x = 15 + -1x + x

Combine like terms: -1x + x = 0
-7 + 4x = 15 + 0
-7 + 4x = 15

Add '7' to each side of the equation.
-7 + 7 + 4x = 15 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 15 + 7
4x = 15 + 7

Combine like terms: 15 + 7 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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