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

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Solution for x+7-(x-8)=2x+1 equation: 


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

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

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

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

Combine like terms: x + -1x = 0
15 + 0 = 2x + 1
15 = 2x + 1

Reorder the terms:
15 = 1 + 2x

Solving
15 = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -2x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -2x = 1 + 0
15 + -2x = 1

Add '-15' to each side of the equation.
15 + -15 + -2x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 1 + -15
-2x = 1 + -15

Combine like terms: 1 + -15 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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