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

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


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

Reorder the terms:
8 + -10x = 3(4 + 5x)
8 + -10x = (4 * 3 + 5x * 3)
8 + -10x = (12 + 15x)

Solving
8 + -10x = 12 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
8 + -10x + -15x = 12 + 15x + -15x

Combine like terms: -10x + -15x = -25x
8 + -25x = 12 + 15x + -15x

Combine like terms: 15x + -15x = 0
8 + -25x = 12 + 0
8 + -25x = 12

Add '-8' to each side of the equation.
8 + -8 + -25x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -25x = 12 + -8
-25x = 12 + -8

Combine like terms: 12 + -8 = 4
-25x = 4

Divide each side by '-25'.
x = -0.16

Simplifying
x = -0.16

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