(x+7)+(x+7)=5x-1

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Solution for (x+7)+(x+7)=5x-1 equation:


Simplifying
(x + 7) + (x + 7) = 5x + -1

Reorder the terms:
(7 + x) + (x + 7) = 5x + -1

Remove parenthesis around (7 + x)
7 + x + (x + 7) = 5x + -1

Reorder the terms:
7 + x + (7 + x) = 5x + -1

Remove parenthesis around (7 + x)
7 + x + 7 + x = 5x + -1

Reorder the terms:
7 + 7 + x + x = 5x + -1

Combine like terms: 7 + 7 = 14
14 + x + x = 5x + -1

Combine like terms: x + x = 2x
14 + 2x = 5x + -1

Reorder the terms:
14 + 2x = -1 + 5x

Solving
14 + 2x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + 2x + -5x = -1 + 5x + -5x

Combine like terms: 2x + -5x = -3x
14 + -3x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -3x = -1 + 0
14 + -3x = -1

Add '-14' to each side of the equation.
14 + -14 + -3x = -1 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -1 + -14
-3x = -1 + -14

Combine like terms: -1 + -14 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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