4x-7=-x+8

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Solution for 4x-7=-x+8 equation:


Simplifying
4x + -7 = -1x + 8

Reorder the terms:
-7 + 4x = -1x + 8

Reorder the terms:
-7 + 4x = 8 + -1x

Solving
-7 + 4x = 8 + -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 + 4x + x = 8 + -1x + x

Combine like terms: 4x + x = 5x
-7 + 5x = 8 + -1x + x

Combine like terms: -1x + x = 0
-7 + 5x = 8 + 0
-7 + 5x = 8

Add '7' to each side of the equation.
-7 + 7 + 5x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 8 + 7
5x = 8 + 7

Combine like terms: 8 + 7 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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