Solve 23+4(2x-2)=5(x+2)

$$23 + 4 ( 2 x - 2 ) = 5 ( x + 2 )$$

Solve for x

$$x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x-2.

$$23+8x-8=5\left(x+2\right)$$

Subtract 8 from 23 to get 15.

$$15+8x=5\left(x+2\right)$$

Use the distributive property to multiply 5 by x+2.

$$15+8x=5x+10$$

Subtract 5x from both sides.

$$15+8x-5x=10$$

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

$$15+3x=10$$

Subtract 15 from both sides.

$$3x=10-15$$

Subtract 15 from 10 to get -5.

$$3x=-5$$

Divide both sides by 3.

$$x=\frac{-5}{3}$$

Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

$$x=-\frac{5}{3}$$