6(4-5x)=-5(10+4x)

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Solution for 6(4-5x)=-5(10+4x) equation: 


Simplifying
6(4 + -5x) = -5(10 + 4x)
(4 * 6 + -5x * 6) = -5(10 + 4x)
(24 + -30x) = -5(10 + 4x)
24 + -30x = (10 * -5 + 4x * -5)
24 + -30x = (-50 + -20x)

Solving
24 + -30x = -50 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
24 + -30x + 20x = -50 + -20x + 20x

Combine like terms: -30x + 20x = -10x
24 + -10x = -50 + -20x + 20x

Combine like terms: -20x + 20x = 0
24 + -10x = -50 + 0
24 + -10x = -50

Add '-24' to each side of the equation.
24 + -24 + -10x = -50 + -24

Combine like terms: 24 + -24 = 0
0 + -10x = -50 + -24
-10x = -50 + -24

Combine like terms: -50 + -24 = -74
-10x = -74

Divide each side by '-10'.
x = 7.4

Simplifying
x = 7.4

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