x+10=-3x+2

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


Simplifying
x + 10 = -3x + 2

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

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

Solving
10 + x = 2 + -3x

Solving for variable 'x'.

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

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

Combine like terms: x + 3x = 4x
10 + 4x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
10 + 4x = 2 + 0
10 + 4x = 2

Add '-10' to each side of the equation.
10 + -10 + 4x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 2 + -10
4x = 2 + -10

Combine like terms: 2 + -10 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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