5+5(x-6)=9-7(x-7)

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Solution for 5+5(x-6)=9-7(x-7) equation:


Simplifying
5 + 5(x + -6) = 9 + -7(x + -7)

Reorder the terms:
5 + 5(-6 + x) = 9 + -7(x + -7)
5 + (-6 * 5 + x * 5) = 9 + -7(x + -7)
5 + (-30 + 5x) = 9 + -7(x + -7)

Combine like terms: 5 + -30 = -25
-25 + 5x = 9 + -7(x + -7)

Reorder the terms:
-25 + 5x = 9 + -7(-7 + x)
-25 + 5x = 9 + (-7 * -7 + x * -7)
-25 + 5x = 9 + (49 + -7x)

Combine like terms: 9 + 49 = 58
-25 + 5x = 58 + -7x

Solving
-25 + 5x = 58 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-25 + 5x + 7x = 58 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-25 + 12x = 58 + -7x + 7x

Combine like terms: -7x + 7x = 0
-25 + 12x = 58 + 0
-25 + 12x = 58

Add '25' to each side of the equation.
-25 + 25 + 12x = 58 + 25

Combine like terms: -25 + 25 = 0
0 + 12x = 58 + 25
12x = 58 + 25

Combine like terms: 58 + 25 = 83
12x = 83

Divide each side by '12'.
x = 6.916666667

Simplifying
x = 6.916666667

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