2(3-8x)=4(5-6x)

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Solution for 2(3-8x)=4(5-6x) equation:


Simplifying
2(3 + -8x) = 4(5 + -6x)
(3 * 2 + -8x * 2) = 4(5 + -6x)
(6 + -16x) = 4(5 + -6x)
6 + -16x = (5 * 4 + -6x * 4)
6 + -16x = (20 + -24x)

Solving
6 + -16x = 20 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
6 + -16x + 24x = 20 + -24x + 24x

Combine like terms: -16x + 24x = 8x
6 + 8x = 20 + -24x + 24x

Combine like terms: -24x + 24x = 0
6 + 8x = 20 + 0
6 + 8x = 20

Add '-6' to each side of the equation.
6 + -6 + 8x = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 20 + -6
8x = 20 + -6

Combine like terms: 20 + -6 = 14
8x = 14

Divide each side by '8'.
x = 1.75

Simplifying
x = 1.75

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