-3(4x-10)=0.75(-24x+60)

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Solution for -3(4x-10)=0.75(-24x+60) equation:


Simplifying
-3(4x + -10) = 0.75(-24x + 60)

Reorder the terms:
-3(-10 + 4x) = 0.75(-24x + 60)
(-10 * -3 + 4x * -3) = 0.75(-24x + 60)
(30 + -12x) = 0.75(-24x + 60)

Reorder the terms:
30 + -12x = 0.75(60 + -24x)
30 + -12x = (60 * 0.75 + -24x * 0.75)
30 + -12x = (45 + -18x)

Solving
30 + -12x = 45 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
30 + -12x + 18x = 45 + -18x + 18x

Combine like terms: -12x + 18x = 6x
30 + 6x = 45 + -18x + 18x

Combine like terms: -18x + 18x = 0
30 + 6x = 45 + 0
30 + 6x = 45

Add '-30' to each side of the equation.
30 + -30 + 6x = 45 + -30

Combine like terms: 30 + -30 = 0
0 + 6x = 45 + -30
6x = 45 + -30

Combine like terms: 45 + -30 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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