3x+10=-2x+8

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


Simplifying
3x + 10 = -2x + 8

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

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

Solving
10 + 3x = 8 + -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.
10 + 3x + 2x = 8 + -2x + 2x

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

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

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

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

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

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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