5(x-8)=8(x-5)

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


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

Reorder the terms:
5(-8 + x) = 8(x + -5)
(-8 * 5 + x * 5) = 8(x + -5)
(-40 + 5x) = 8(x + -5)

Reorder the terms:
-40 + 5x = 8(-5 + x)
-40 + 5x = (-5 * 8 + x * 8)
-40 + 5x = (-40 + 8x)

Add '40' to each side of the equation.
-40 + 40 + 5x = -40 + 40 + 8x

Combine like terms: -40 + 40 = 0
0 + 5x = -40 + 40 + 8x
5x = -40 + 40 + 8x

Combine like terms: -40 + 40 = 0
5x = 0 + 8x
5x = 8x

Solving
5x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5x + -8x = 8x + -8x

Combine like terms: 5x + -8x = -3x
-3x = 8x + -8x

Combine like terms: 8x + -8x = 0
-3x = 0

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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