Solve 2(3x+1)-x+6=2(x-1)

$$2 ( 3 x + 1 ) - x + 6 = 2 ( x - 1 )$$

Solve for x

$$x = -\frac{10}{3} = -3\frac{1}{3} \approx -3.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3x+1.

$$6x+2-x+6=2\left(x-1\right)$$

Combine 6x and -x to get 5x.

$$5x+2+6=2\left(x-1\right)$$

Add 2 and 6 to get 8.

$$5x+8=2\left(x-1\right)$$

Use the distributive property to multiply 2 by x-1.

$$5x+8=2x-2$$

Subtract 2x from both sides.

$$5x+8-2x=-2$$

Combine 5x and -2x to get 3x.

$$3x+8=-2$$

Subtract 8 from both sides.

$$3x=-2-8$$

Subtract 8 from -2 to get -10.

$$3x=-10$$

Divide both sides by 3.

$$x=\frac{-10}{3}$$

Fraction \frac{-10}{3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$x=-\frac{10}{3}$$