3x+2(-x)+4=2(-x)+10

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Solution for 3x+2(-x)+4=2(-x)+10 equation:


Simplifying
3x + 2(-1x) + 4 = 2(-1x) + 10

Remove parenthesis around (-1x)
3x + 2 * -1x + 4 = 2(-1x) + 10

Multiply 2 * -1
3x + -2x + 4 = 2(-1x) + 10

Reorder the terms:
4 + 3x + -2x = 2(-1x) + 10

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

Remove parenthesis around (-1x)
4 + 1x = 2 * -1x + 10

Multiply 2 * -1
4 + 1x = -2x + 10

Reorder the terms:
4 + 1x = 10 + -2x

Solving
4 + 1x = 10 + -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.
4 + 1x + 2x = 10 + -2x + 2x

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

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 10 + -4

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

Combine like terms: 10 + -4 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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