5(x-9)-11=15-7(x-7)

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Solution for 5(x-9)-11=15-7(x-7) equation:


Simplifying
5(x + -9) + -11 = 15 + -7(x + -7)

Reorder the terms:
5(-9 + x) + -11 = 15 + -7(x + -7)
(-9 * 5 + x * 5) + -11 = 15 + -7(x + -7)
(-45 + 5x) + -11 = 15 + -7(x + -7)

Reorder the terms:
-45 + -11 + 5x = 15 + -7(x + -7)

Combine like terms: -45 + -11 = -56
-56 + 5x = 15 + -7(x + -7)

Reorder the terms:
-56 + 5x = 15 + -7(-7 + x)
-56 + 5x = 15 + (-7 * -7 + x * -7)
-56 + 5x = 15 + (49 + -7x)

Combine like terms: 15 + 49 = 64
-56 + 5x = 64 + -7x

Solving
-56 + 5x = 64 + -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.
-56 + 5x + 7x = 64 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-56 + 12x = 64 + -7x + 7x

Combine like terms: -7x + 7x = 0
-56 + 12x = 64 + 0
-56 + 12x = 64

Add '56' to each side of the equation.
-56 + 56 + 12x = 64 + 56

Combine like terms: -56 + 56 = 0
0 + 12x = 64 + 56
12x = 64 + 56

Combine like terms: 64 + 56 = 120
12x = 120

Divide each side by '12'.
x = 10

Simplifying
x = 10

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