Solve for x 3x-1-4x=-2x+7x-4

$3 x - 1 - 4 x = - 2 x + 7 x - 4$

Step 1

Subtract $4 x$ from $3 x$ .

$- x - 1 = - 2 x + 7 x - 4$

Step 2

Add $- 2 x$ and $7 x$ .

$- x - 1 = 5 x - 4$

Step 3

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

Subtract $5 x$ from both sides of the equation.

$- x - 1 - 5 x = - 4$

Subtract $5 x$ from $- x$ .

$- 6 x - 1 = - 4$

Step 4

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

Add $1$ to both sides of the equation.

$- 6 x = - 4 + 1$

Add $- 4$ and $1$ .

$- 6 x = - 3$

Step 5

Divide each term in $- 6 x = - 3$ by $- 6$ and simplify.

Divide each term in $- 6 x = - 3$ by $- 6$ .

$\frac{- 6 x}{- 6} = \frac{- 3}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 x}{- 6} = \frac{- 3}{- 6}$

Divide $x$ by $1$ .

$x = \frac{- 3}{- 6}$

Simplify the right side.

Cancel the common factor of $- 3$ and $- 6$ .

Factor $- 3$ out of $- 3$ .

$x = \frac{- 3 (1)}{- 6}$

Cancel the common factors.

Factor $- 3$ out of $- 6$ .

$x = \frac{- 3 \cdot 1}{- 3 \cdot 2}$

Cancel the common factor.

$x = \frac{- 3 \cdot 1}{- 3 \cdot 2}$

Rewrite the expression.

$x = \frac{1}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{1}{2}$

Decimal Form:

$x = 0.5$

Solve for x 3x-1-4x=-2x+7x-4

Related Questions

Support LCMGCF.com by disabling your adblocker.