5(5-4x)=6(5-8x)

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Solution for 5(5-4x)=6(5-8x) equation:


Simplifying
5(5 + -4x) = 6(5 + -8x)
(5 * 5 + -4x * 5) = 6(5 + -8x)
(25 + -20x) = 6(5 + -8x)
25 + -20x = (5 * 6 + -8x * 6)
25 + -20x = (30 + -48x)

Solving
25 + -20x = 30 + -48x

Solving for variable 'x'.

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

Add '48x' to each side of the equation.
25 + -20x + 48x = 30 + -48x + 48x

Combine like terms: -20x + 48x = 28x
25 + 28x = 30 + -48x + 48x

Combine like terms: -48x + 48x = 0
25 + 28x = 30 + 0
25 + 28x = 30

Add '-25' to each side of the equation.
25 + -25 + 28x = 30 + -25

Combine like terms: 25 + -25 = 0
0 + 28x = 30 + -25
28x = 30 + -25

Combine like terms: 30 + -25 = 5
28x = 5

Divide each side by '28'.
x = 0.1785714286

Simplifying
x = 0.1785714286

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