Solve for x 4(6-3x)-8x=1/3(105x-18)+125x

$4 (6 - 3 x) - 8 x = \frac{1}{3} (105 x - 18) + 125 x$

Simplify $4 (6 - 3 x) - 8 x$ .

Simplify each term.

Apply the distributive property.

$4 \cdot 6 + 4 (- 3 x) - 8 x = \frac{1}{3} \cdot (105 x - 18) + 125 x$

Multiply $4$ by $6$ .

$24 + 4 (- 3 x) - 8 x = \frac{1}{3} \cdot (105 x - 18) + 125 x$

Multiply $- 3$ by $4$ .

$24 - 12 x - 8 x = \frac{1}{3} \cdot (105 x - 18) + 125 x$

Subtract $8 x$ from $- 12 x$ .

$24 - 20 x = \frac{1}{3} \cdot (105 x - 18) + 125 x$

Simplify $\frac{1}{3} \cdot (105 x - 18) + 125 x$ .

Simplify each term.

Apply the distributive property.

$24 - 20 x = \frac{1}{3} (105 x) + \frac{1}{3} \cdot - 18 + 125 x$

Cancel the common factor of $3$ .

Factor $3$ out of $105 x$ .

$24 - 20 x = \frac{1}{3} (3 (35 x)) + \frac{1}{3} \cdot - 18 + 125 x$

Cancel the common factor.

$24 - 20 x = \frac{1}{3} (3 (35 x)) + \frac{1}{3} \cdot - 18 + 125 x$

Rewrite the expression.

$24 - 20 x = 35 x + \frac{1}{3} \cdot - 18 + 125 x$

Cancel the common factor of $3$ .

Factor $3$ out of $- 18$ .

$24 - 20 x = 35 x + \frac{1}{3} \cdot (3 (- 6)) + 125 x$

Cancel the common factor.

$24 - 20 x = 35 x + \frac{1}{3} \cdot (3 \cdot - 6) + 125 x$

Rewrite the expression.

$24 - 20 x = 35 x - 6 + 125 x$

Add $35 x$ and $125 x$ .

$24 - 20 x = 160 x - 6$

Move all terms containing $x$ to the left side of the equation.

Subtract $160 x$ from both sides of the equation.

$24 - 20 x - 160 x = - 6$

Subtract $160 x$ from $- 20 x$ .

$24 - 180 x = - 6$

Move all terms not containing $x$ to the right side of the equation.

Subtract $24$ from both sides of the equation.

$- 180 x = - 6 - 24$

Subtract $24$ from $- 6$ .

$- 180 x = - 30$

Divide each term in $- 180 x = - 30$ by $- 180$ and simplify.

Divide each term in $- 180 x = - 30$ by $- 180$ .

$\frac{- 180 x}{- 180} = \frac{- 30}{- 180}$

Simplify the left side.

Cancel the common factor of $- 180$ .

Cancel the common factor.

$\frac{- 180 x}{- 180} = \frac{- 30}{- 180}$

Divide $x$ by $1$ .

$x = \frac{- 30}{- 180}$

Simplify the right side.

Cancel the common factor of $- 30$ and $- 180$ .

Factor $- 30$ out of $- 30$ .

$x = \frac{- 30 (1)}{- 180}$

Cancel the common factors.

Factor $- 30$ out of $- 180$ .

$x = \frac{- 30 \cdot 1}{- 30 \cdot 6}$

Cancel the common factor.

$x = \frac{- 30 \cdot 1}{- 30 \cdot 6}$

Rewrite the expression.

$x = \frac{1}{6}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{6}$

Decimal Form:

$x = 0.1\overline{6}$

Solve for x 4(6-3x)-8x=1/3(105x-18)+125x

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