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

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


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

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

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

Combine like terms: 2x + -1x = 1x
-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 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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