(2x+7)=5(1x-7)

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Solution for (2x+7)=5(1x-7) equation:


Simplifying
(2x + 7) = 5(1x + -7)

Reorder the terms:
(7 + 2x) = 5(1x + -7)

Remove parenthesis around (7 + 2x)
7 + 2x = 5(1x + -7)

Reorder the terms:
7 + 2x = 5(-7 + 1x)
7 + 2x = (-7 * 5 + 1x * 5)
7 + 2x = (-35 + 5x)

Solving
7 + 2x = -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.
7 + 2x + -5x = -35 + 5x + -5x

Combine like terms: 2x + -5x = -3x
7 + -3x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -3x = -35 + 0
7 + -3x = -35

Add '-7' to each side of the equation.
7 + -7 + -3x = -35 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -35 + -7
-3x = -35 + -7

Combine like terms: -35 + -7 = -42
-3x = -42

Divide each side by '-3'.
x = 14

Simplifying
x = 14

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