-3x+10=5x+(-8)

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Solution for -3x+10=5x+(-8) equation:


Simplifying
-3x + 10 = 5x + (-8)

Reorder the terms:
10 + -3x = 5x + (-8)
10 + -3x = 5x + -8

Reorder the terms:
10 + -3x = -8 + 5x

Solving
10 + -3x = -8 + 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.
10 + -3x + -5x = -8 + 5x + -5x

Combine like terms: -3x + -5x = -8x
10 + -8x = -8 + 5x + -5x

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

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

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

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

Divide each side by '-8'.
x = 2.25

Simplifying
x = 2.25

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