6x-(4-6x)=1.5(x+12)

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Solution for 6x-(4-6x)=1.5(x+12) equation:


Simplifying
6x + -1(4 + -6x) = 1.5(x + 12)
6x + (4 * -1 + -6x * -1) = 1.5(x + 12)
6x + (-4 + 6x) = 1.5(x + 12)

Reorder the terms:
-4 + 6x + 6x = 1.5(x + 12)

Combine like terms: 6x + 6x = 12x
-4 + 12x = 1.5(x + 12)

Reorder the terms:
-4 + 12x = 1.5(12 + x)
-4 + 12x = (12 * 1.5 + x * 1.5)
-4 + 12x = (18 + 1.5x)

Solving
-4 + 12x = 18 + 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.
-4 + 12x + -1.5x = 18 + 1.5x + -1.5x

Combine like terms: 12x + -1.5x = 10.5x
-4 + 10.5x = 18 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-4 + 10.5x = 18 + 0.0
-4 + 10.5x = 18

Add '4' to each side of the equation.
-4 + 4 + 10.5x = 18 + 4

Combine like terms: -4 + 4 = 0
0 + 10.5x = 18 + 4
10.5x = 18 + 4

Combine like terms: 18 + 4 = 22
10.5x = 22

Divide each side by '10.5'.
x = 2.095238095

Simplifying
x = 2.095238095

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