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

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


Simplifying
2(4 + -5x) = 3(8 + -4x)
(4 * 2 + -5x * 2) = 3(8 + -4x)
(8 + -10x) = 3(8 + -4x)
8 + -10x = (8 * 3 + -4x * 3)
8 + -10x = (24 + -12x)

Solving
8 + -10x = 24 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
8 + -10x + 12x = 24 + -12x + 12x

Combine like terms: -10x + 12x = 2x
8 + 2x = 24 + -12x + 12x

Combine like terms: -12x + 12x = 0
8 + 2x = 24 + 0
8 + 2x = 24

Add '-8' to each side of the equation.
8 + -8 + 2x = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 24 + -8
2x = 24 + -8

Combine like terms: 24 + -8 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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