7(x-8)+11=5(x-7)

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Solution for 7(x-8)+11=5(x-7) equation:


Simplifying
7(x + -8) + 11 = 5(x + -7)

Reorder the terms:
7(-8 + x) + 11 = 5(x + -7)
(-8 * 7 + x * 7) + 11 = 5(x + -7)
(-56 + 7x) + 11 = 5(x + -7)

Reorder the terms:
-56 + 11 + 7x = 5(x + -7)

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

Reorder the terms:
-45 + 7x = 5(-7 + x)
-45 + 7x = (-7 * 5 + x * 5)
-45 + 7x = (-35 + 5x)

Solving
-45 + 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.
-45 + 7x + -5x = -35 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-45 + 2x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
-45 + 2x = -35 + 0
-45 + 2x = -35

Add '45' to each side of the equation.
-45 + 45 + 2x = -35 + 45

Combine like terms: -45 + 45 = 0
0 + 2x = -35 + 45
2x = -35 + 45

Combine like terms: -35 + 45 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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