5x-8=-4x+10

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Solution for 5x-8=-4x+10 equation:


Simplifying
5x + -8 = -4x + 10

Reorder the terms:
-8 + 5x = -4x + 10

Reorder the terms:
-8 + 5x = 10 + -4x

Solving
-8 + 5x = 10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-8 + 5x + 4x = 10 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-8 + 9x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 9x = 10 + 0
-8 + 9x = 10

Add '8' to each side of the equation.
-8 + 8 + 9x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 10 + 8
9x = 10 + 8

Combine like terms: 10 + 8 = 18
9x = 18

Divide each side by '9'.
x = 2

Simplifying
x = 2

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