Solve 6(x-1)+2x=12+5(x+1)

$$6 ( x - 1 ) + 2 x = 12 + 5 ( x + 1 )$$

Solve for x

$$x = \frac{23}{3} = 7\frac{2}{3} \approx 7.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x-1.

$$6x-6+2x=12+5\left(x+1\right)$$

Combine 6x and 2x to get 8x.

$$8x-6=12+5\left(x+1\right)$$

Use the distributive property to multiply 5 by x+1.

$$8x-6=12+5x+5$$

Add 12 and 5 to get 17.

$$8x-6=17+5x$$

Subtract 5x from both sides.

$$8x-6-5x=17$$

Combine 8x and -5x to get 3x.

$$3x-6=17$$

Add 6 to both sides.

$$3x=17+6$$

Add 17 and 6 to get 23.

$$3x=23$$

Divide both sides by 3.

$$x=\frac{23}{3}$$