3x+2=10-5x

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Solution for 3x+2=10-5x equation:


Simplifying
3x + 2 = 10 + -5x

Reorder the terms:
2 + 3x = 10 + -5x

Solving
2 + 3x = 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.
2 + 3x + 5x = 10 + -5x + 5x

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

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

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

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

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

Divide each side by '8'.
x = 1

Simplifying
x = 1

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