5x+8(x-11)=5(x-16)

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Solution for 5x+8(x-11)=5(x-16) equation:


Simplifying
5x + 8(x + -11) = 5(x + -16)

Reorder the terms:
5x + 8(-11 + x) = 5(x + -16)
5x + (-11 * 8 + x * 8) = 5(x + -16)
5x + (-88 + 8x) = 5(x + -16)

Reorder the terms:
-88 + 5x + 8x = 5(x + -16)

Combine like terms: 5x + 8x = 13x
-88 + 13x = 5(x + -16)

Reorder the terms:
-88 + 13x = 5(-16 + x)
-88 + 13x = (-16 * 5 + x * 5)
-88 + 13x = (-80 + 5x)

Solving
-88 + 13x = -80 + 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.
-88 + 13x + -5x = -80 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-88 + 8x = -80 + 5x + -5x

Combine like terms: 5x + -5x = 0
-88 + 8x = -80 + 0
-88 + 8x = -80

Add '88' to each side of the equation.
-88 + 88 + 8x = -80 + 88

Combine like terms: -88 + 88 = 0
0 + 8x = -80 + 88
8x = -80 + 88

Combine like terms: -80 + 88 = 8
8x = 8

Divide each side by '8'.
x = 1

Simplifying
x = 1

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