(2x)+(-x)+2=3(-x)+10

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


Simplifying
(2x) + (-1x) + 2 = 3(-1x) + 10

Reorder the terms:
2 + (2x) + (-1x) = 3(-1x) + 10

Combine like terms: (2x) + (-1x) = 1x
2 + 1x = 3(-1x) + 10

Remove parenthesis around (-1x)
2 + 1x = 3 * -1x + 10

Multiply 3 * -1
2 + 1x = -3x + 10

Reorder the terms:
2 + 1x = 10 + -3x

Solving
2 + 1x = 10 + -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.
2 + 1x + 3x = 10 + -3x + 3x

Combine like terms: 1x + 3x = 4x
2 + 4x = 10 + -3x + 3x

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

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

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

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

Divide each side by '4'.
x = 2

Simplifying
x = 2

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