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

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Solution for 2+(x+7)=5(x-7) equation:


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

Reorder the terms:
2 + (7 + x) = 5(x + -7)

Remove parenthesis around (7 + x)
2 + 7 + x = 5(x + -7)

Combine like terms: 2 + 7 = 9
9 + x = 5(x + -7)

Reorder the terms:
9 + x = 5(-7 + x)
9 + x = (-7 * 5 + x * 5)
9 + x = (-35 + 5x)

Solving
9 + x = -35 + 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.
9 + x + -5x = -35 + 5x + -5x

Combine like terms: x + -5x = -4x
9 + -4x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
9 + -4x = -35 + 0
9 + -4x = -35

Add '-9' to each side of the equation.
9 + -9 + -4x = -35 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -35 + -9
-4x = -35 + -9

Combine like terms: -35 + -9 = -44
-4x = -44

Divide each side by '-4'.
x = 11

Simplifying
x = 11

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