Solve for x 3x-x+4=4(2x-1)

$3 x - x + 4 = 4 (2 x - 1)$

Step 1

Subtract $x$ from $3 x$ .

$2 x + 4 = 4 (2 x - 1)$

Step 2

Simplify $4 (2 x - 1)$ .

Apply the distributive property.

$2 x + 4 = 4 (2 x) + 4 \cdot - 1$

Multiply.

Multiply $2$ by $4$ .

$2 x + 4 = 8 x + 4 \cdot - 1$

Multiply $4$ by $- 1$ .

$2 x + 4 = 8 x - 4$

Step 3

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

Subtract $8 x$ from both sides of the equation.

$2 x + 4 - 8 x = - 4$

Subtract $8 x$ from $2 x$ .

$- 6 x + 4 = - 4$

Step 4

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

Subtract $4$ from both sides of the equation.

$- 6 x = - 4 - 4$

Subtract $4$ from $- 4$ .

$- 6 x = - 8$

Step 5

Divide each term in $- 6 x = - 8$ by $- 6$ and simplify.

Divide each term in $- 6 x = - 8$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{- 8}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{- 8}{- 6}$

Divide $x$ by $1$ .

$x = \frac{- 8}{- 6}$

Simplify the right side.

Cancel the common factor of $- 8$ and $- 6$ .

Factor $- 2$ out of $- 8$ .

$x = \frac{- 2 (4)}{- 6}$

Cancel the common factors.

Factor $- 2$ out of $- 6$ .

$x = \frac{- 2 \cdot 4}{- 2 \cdot 3}$

Cancel the common factor.

$x = \frac{- 2 \cdot 4}{- 2 \cdot 3}$

Rewrite the expression.

$x = \frac{4}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{4}{3}$

Decimal Form:

$x = 1.\overline{3}$

Mixed Number Form:

$x = 1 \frac{1}{3}$

Solve for x 3x-x+4=4(2x-1)

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