2x-3(-x)-5=7+(-x)

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Solution for 2x-3(-x)-5=7+(-x) equation:


Simplifying
2x + -3(-1x) + -5 = 7 + (-1x)

Remove parenthesis around (-1x)
2x + -3 * -1x + -5 = 7 + (-1x)

Multiply -3 * -1
2x + 3x + -5 = 7 + (-1x)

Reorder the terms:
-5 + 2x + 3x = 7 + (-1x)

Combine like terms: 2x + 3x = 5x
-5 + 5x = 7 + (-1x)

Solving
-5 + 5x = 7 + (-1x)

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '(x)' to each side of the equation.
-5 + 5x + (x) = 7 + (-1x) + (x)
-5 + 5x + x = 7 + (-1x) + (x)

Combine like terms: 5x + x = 6x
-5 + 6x = 7 + (-1x) + (x)
-5 + 6x = 7 + (-1x) + x

Combine like terms: (-1x) + x = 0
-5 + 6x = 7 + 0
-5 + 6x = 7

Add '5' to each side of the equation.
-5 + 5 + 6x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 7 + 5
6x = 7 + 5

Combine like terms: 7 + 5 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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