3x+8=-2x+10

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Solution for 3x+8=-2x+10 equation:


Simplifying
3x + 8 = -2x + 10

Reorder the terms:
8 + 3x = -2x + 10

Reorder the terms:
8 + 3x = 10 + -2x

Solving
8 + 3x = 10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + 3x + 2x = 10 + -2x + 2x

Combine like terms: 3x + 2x = 5x
8 + 5x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 5x = 10 + 0
8 + 5x = 10

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

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

Combine like terms: 10 + -8 = 2
5x = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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