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

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


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

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

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

Combine like terms: 7 + 5 = 12
7 + 7x = 12 + -5x

Solving
7 + 7x = 12 + -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 + 7x + 5x = 12 + -5x + 5x

Combine like terms: 7x + 5x = 12x
7 + 12x = 12 + -5x + 5x

Combine like terms: -5x + 5x = 0
7 + 12x = 12 + 0
7 + 12x = 12

Add '-7' to each side of the equation.
7 + -7 + 12x = 12 + -7

Combine like terms: 7 + -7 = 0
0 + 12x = 12 + -7
12x = 12 + -7

Combine like terms: 12 + -7 = 5
12x = 5

Divide each side by '12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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