3(4x-8)=.2(35x+30)

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Solution for 3(4x-8)=.2(35x+30) equation:


Simplifying
3(4x + -8) = 0.2(35x + 30)

Reorder the terms:
3(-8 + 4x) = 0.2(35x + 30)
(-8 * 3 + 4x * 3) = 0.2(35x + 30)
(-24 + 12x) = 0.2(35x + 30)

Reorder the terms:
-24 + 12x = 0.2(30 + 35x)
-24 + 12x = (30 * 0.2 + 35x * 0.2)
-24 + 12x = (6 + 7x)

Solving
-24 + 12x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-24 + 12x + -7x = 6 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-24 + 5x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-24 + 5x = 6 + 0
-24 + 5x = 6

Add '24' to each side of the equation.
-24 + 24 + 5x = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 6 + 24
5x = 6 + 24

Combine like terms: 6 + 24 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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