x-8=-5x+10

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Solution for x-8=-5x+10 equation:


Simplifying
x + -8 = -5x + 10

Reorder the terms:
-8 + x = -5x + 10

Reorder the terms:
-8 + x = 10 + -5x

Solving
-8 + x = 10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-8 + x + 5x = 10 + -5x + 5x

Combine like terms: x + 5x = 6x
-8 + 6x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 6x = 10 + 0
-8 + 6x = 10

Add '8' to each side of the equation.
-8 + 8 + 6x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 10 + 8
6x = 10 + 8

Combine like terms: 10 + 8 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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