(2x-7)-(x+8)=15

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Solution for (2x-7)-(x+8)=15 equation:


Simplifying
(2x + -7) + -1(x + 8) = 15

Reorder the terms:
(-7 + 2x) + -1(x + 8) = 15

Remove parenthesis around (-7 + 2x)
-7 + 2x + -1(x + 8) = 15

Reorder the terms:
-7 + 2x + -1(8 + x) = 15
-7 + 2x + (8 * -1 + x * -1) = 15
-7 + 2x + (-8 + -1x) = 15

Reorder the terms:
-7 + -8 + 2x + -1x = 15

Combine like terms: -7 + -8 = -15
-15 + 2x + -1x = 15

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

Solving
-15 + 1x = 15

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 1x = 15 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 15 + 15
1x = 15 + 15

Combine like terms: 15 + 15 = 30
1x = 30

Divide each side by '1'.
x = 30

Simplifying
x = 30

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