4(2x-10)=5(x-8)

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Solution for 4(2x-10)=5(x-8) equation:


Simplifying
4(2x + -10) = 5(x + -8)

Reorder the terms:
4(-10 + 2x) = 5(x + -8)
(-10 * 4 + 2x * 4) = 5(x + -8)
(-40 + 8x) = 5(x + -8)

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

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

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

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

Solving
8x = 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.
8x + -5x = 5x + -5x

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

Combine like terms: 5x + -5x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0

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