Solve 3(2x+1)+2(x-1)=23

$$3 ( 2 x + 1 ) + 2 ( x - 1 ) = 23$$

Solve for x

$$x = \frac{11}{4} = 2\frac{3}{4} = 2.75$$

Steps for Solving Linear Equation

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

$$6x+3+2\left(x-1\right)=23$$

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

$$6x+3+2x-2=23$$

Combine 6x and 2x to get 8x.

$$8x+3-2=23$$

Subtract 2 from 3 to get 1.

$$8x+1=23$$

Subtract 1 from both sides.

$$8x=23-1$$

Subtract 1 from 23 to get 22.

$$8x=22$$

Divide both sides by 8.

$$x=\frac{22}{8}$$

Reduce the fraction \frac{22}{8} to lowest terms by extracting and canceling out 2.

$$x=\frac{11}{4}$$