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

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


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

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

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

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

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

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

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

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

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

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

Solving
-1 + 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.
-1 + 2x + -1x = -7 + x + -1x

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

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

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

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

Combine like terms: -7 + 1 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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