4(x-5+2x)=0.5(12x-16)

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Solution for 4(x-5+2x)=0.5(12x-16) equation:


Simplifying
4(x + -5 + 2x) = 0.5(12x + -16)

Reorder the terms:
4(-5 + x + 2x) = 0.5(12x + -16)

Combine like terms: x + 2x = 3x
4(-5 + 3x) = 0.5(12x + -16)
(-5 * 4 + 3x * 4) = 0.5(12x + -16)
(-20 + 12x) = 0.5(12x + -16)

Reorder the terms:
-20 + 12x = 0.5(-16 + 12x)
-20 + 12x = (-16 * 0.5 + 12x * 0.5)
-20 + 12x = (-8 + 6x)

Solving
-20 + 12x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + 12x + -6x = -8 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-20 + 6x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + 6x = -8 + 0
-20 + 6x = -8

Add '20' to each side of the equation.
-20 + 20 + 6x = -8 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = -8 + 20
6x = -8 + 20

Combine like terms: -8 + 20 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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