Solve for x 3x+2=10-4(x-1)

$3 x + 2 = 10 - 4 (x - 1)$

Simplify $10 - 4 (x - 1)$ .

Simplify each term.

Apply the distributive property.

$3 x + 2 = 10 - 4 x - 4 \cdot - 1$

Multiply $- 4$ by $- 1$ .

$3 x + 2 = 10 - 4 x + 4$

Add $10$ and $4$ .

$3 x + 2 = - 4 x + 14$

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

Add $4 x$ to both sides of the equation.

$3 x + 2 + 4 x = 14$

Add $3 x$ and $4 x$ .

$7 x + 2 = 14$

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

Subtract $2$ from both sides of the equation.

$7 x = 14 - 2$

Subtract $2$ from $14$ .

$7 x = 12$

Divide each term in $7 x = 12$ by $7$ and simplify.

Divide each term in $7 x = 12$ by $7$ .

$\frac{7 x}{7} = \frac{12}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{12}{7}$

Divide $x$ by $1$ .

$x = \frac{12}{7}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{12}{7}$

Decimal Form:

$x = 1.\overline{714285}$

Mixed Number Form:

$x = 1 \frac{5}{7}$