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

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


Simplifying
(x + -15) + (x + -15) = (x + 7)

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

Remove parenthesis around (-15 + x)
-15 + x + (x + -15) = (x + 7)

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

Remove parenthesis around (-15 + x)
-15 + x + -15 + x = (x + 7)

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

Combine like terms: -15 + -15 = -30
-30 + x + x = (x + 7)

Combine like terms: x + x = 2x
-30 + 2x = (x + 7)

Reorder the terms:
-30 + 2x = (7 + x)

Remove parenthesis around (7 + x)
-30 + 2x = 7 + x

Solving
-30 + 2x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-30 + 2x + -1x = 7 + x + -1x

Combine like terms: 2x + -1x = 1x
-30 + 1x = 7 + x + -1x

Combine like terms: x + -1x = 0
-30 + 1x = 7 + 0
-30 + 1x = 7

Add '30' to each side of the equation.
-30 + 30 + 1x = 7 + 30

Combine like terms: -30 + 30 = 0
0 + 1x = 7 + 30
1x = 7 + 30

Combine like terms: 7 + 30 = 37
1x = 37

Divide each side by '1'.
x = 37

Simplifying
x = 37

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