27=5x+8(x-8)

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Solution for 27=5x+8(x-8) equation:


Simplifying
27 = 5x + 8(x + -8)

Reorder the terms:
27 = 5x + 8(-8 + x)
27 = 5x + (-8 * 8 + x * 8)
27 = 5x + (-64 + 8x)

Reorder the terms:
27 = -64 + 5x + 8x

Combine like terms: 5x + 8x = 13x
27 = -64 + 13x

Solving
27 = -64 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
27 + -13x = -64 + 13x + -13x

Combine like terms: 13x + -13x = 0
27 + -13x = -64 + 0
27 + -13x = -64

Add '-27' to each side of the equation.
27 + -27 + -13x = -64 + -27

Combine like terms: 27 + -27 = 0
0 + -13x = -64 + -27
-13x = -64 + -27

Combine like terms: -64 + -27 = -91
-13x = -91

Divide each side by '-13'.
x = 7

Simplifying
x = 7

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