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

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


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

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

Remove parenthesis around (1 + 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 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8

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