7+7(x-2)=5-5(x-6)

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Solution for 7+7(x-2)=5-5(x-6) equation:


Simplifying
7 + 7(x + -2) = 5 + -5(x + -6)

Reorder the terms:
7 + 7(-2 + x) = 5 + -5(x + -6)
7 + (-2 * 7 + x * 7) = 5 + -5(x + -6)
7 + (-14 + 7x) = 5 + -5(x + -6)

Combine like terms: 7 + -14 = -7
-7 + 7x = 5 + -5(x + -6)

Reorder the terms:
-7 + 7x = 5 + -5(-6 + x)
-7 + 7x = 5 + (-6 * -5 + x * -5)
-7 + 7x = 5 + (30 + -5x)

Combine like terms: 5 + 30 = 35
-7 + 7x = 35 + -5x

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

Combine like terms: 7x + 5x = 12x
-7 + 12x = 35 + -5x + 5x

Combine like terms: -5x + 5x = 0
-7 + 12x = 35 + 0
-7 + 12x = 35

Add '7' to each side of the equation.
-7 + 7 + 12x = 35 + 7

Combine like terms: -7 + 7 = 0
0 + 12x = 35 + 7
12x = 35 + 7

Combine like terms: 35 + 7 = 42
12x = 42

Divide each side by '12'.
x = 3.5

Simplifying
x = 3.5

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