2x-3x+5=2(-x)-x+15

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Solution for 2x-3x+5=2(-x)-x+15 equation:


Simplifying
2x + -3x + 5 = 2(-1x) + -1x + 15

Reorder the terms:
5 + 2x + -3x = 2(-1x) + -1x + 15

Combine like terms: 2x + -3x = -1x
5 + -1x = 2(-1x) + -1x + 15

Remove parenthesis around (-1x)
5 + -1x = 2 * -1x + -1x + 15

Multiply 2 * -1
5 + -1x = -2x + -1x + 15

Reorder the terms:
5 + -1x = 15 + -2x + -1x

Combine like terms: -2x + -1x = -3x
5 + -1x = 15 + -3x

Solving
5 + -1x = 15 + -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.
5 + -1x + 3x = 15 + -3x + 3x

Combine like terms: -1x + 3x = 2x
5 + 2x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 2x = 15 + 0
5 + 2x = 15

Add '-5' to each side of the equation.
5 + -5 + 2x = 15 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 15 + -5
2x = 15 + -5

Combine like terms: 15 + -5 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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