4(6x-2)=2(0.75x+5)

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Solution for 4(6x-2)=2(0.75x+5) equation:


Simplifying
4(6x + -2) = 2(0.75x + 5)

Reorder the terms:
4(-2 + 6x) = 2(0.75x + 5)
(-2 * 4 + 6x * 4) = 2(0.75x + 5)
(-8 + 24x) = 2(0.75x + 5)

Reorder the terms:
-8 + 24x = 2(5 + 0.75x)
-8 + 24x = (5 * 2 + 0.75x * 2)
-8 + 24x = (10 + 1.5x)

Solving
-8 + 24x = 10 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-8 + 24x + -1.5x = 10 + 1.5x + -1.5x

Combine like terms: 24x + -1.5x = 22.5x
-8 + 22.5x = 10 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-8 + 22.5x = 10 + 0.0
-8 + 22.5x = 10

Add '8' to each side of the equation.
-8 + 8 + 22.5x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 22.5x = 10 + 8
22.5x = 10 + 8

Combine like terms: 10 + 8 = 18
22.5x = 18

Divide each side by '22.5'.
x = 0.8

Simplifying
x = 0.8

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