4x+(-x)+2=2(-x)+12

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Solution for 4x+(-x)+2=2(-x)+12 equation:


Simplifying
4x + (-1x) + 2 = 2(-1x) + 12

Reorder the terms:
2 + 4x + (-1x) = 2(-1x) + 12

Combine like terms: 4x + (-1x) = 3x
2 + 3x = 2(-1x) + 12

Remove parenthesis around (-1x)
2 + 3x = 2 * -1x + 12

Multiply 2 * -1
2 + 3x = -2x + 12

Reorder the terms:
2 + 3x = 12 + -2x

Solving
2 + 3x = 12 + -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.
2 + 3x + 2x = 12 + -2x + 2x

Combine like terms: 3x + 2x = 5x
2 + 5x = 12 + -2x + 2x

Combine like terms: -2x + 2x = 0
2 + 5x = 12 + 0
2 + 5x = 12

Add '-2' to each side of the equation.
2 + -2 + 5x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 12 + -2
5x = 12 + -2

Combine like terms: 12 + -2 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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