(2x-3)-x=15-(x+4)

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Solution for (2x-3)-x=15-(x+4) equation:


Simplifying
(2x + -3) + -1x = 15 + -1(x + 4)

Reorder the terms:
(-3 + 2x) + -1x = 15 + -1(x + 4)

Remove parenthesis around (-3 + 2x)
-3 + 2x + -1x = 15 + -1(x + 4)

Combine like terms: 2x + -1x = 1x
-3 + 1x = 15 + -1(x + 4)

Reorder the terms:
-3 + 1x = 15 + -1(4 + x)
-3 + 1x = 15 + (4 * -1 + x * -1)
-3 + 1x = 15 + (-4 + -1x)

Combine like terms: 15 + -4 = 11
-3 + 1x = 11 + -1x

Solving
-3 + 1x = 11 + -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.
-3 + 1x + x = 11 + -1x + x

Combine like terms: 1x + x = 2x
-3 + 2x = 11 + -1x + x

Combine like terms: -1x + x = 0
-3 + 2x = 11 + 0
-3 + 2x = 11

Add '3' to each side of the equation.
-3 + 3 + 2x = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 11 + 3
2x = 11 + 3

Combine like terms: 11 + 3 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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