Solve 213+4(2x-1)=5(x+2)

$$213 + 4 ( 2 x - 1 ) = 5 ( x + 2 )$$

Solve for x

$$x = -\frac{199}{3} = -66\frac{1}{3} \approx -66.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x-1.

$$213+8x-4=5\left(x+2\right)$$

Subtract 4 from 213 to get 209.

$$209+8x=5\left(x+2\right)$$

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

$$209+8x=5x+10$$

Subtract 5x from both sides.

$$209+8x-5x=10$$

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

$$209+3x=10$$

Subtract 209 from both sides.

$$3x=10-209$$

Subtract 209 from 10 to get -199.

$$3x=-199$$

Divide both sides by 3.

$$x=\frac{-199}{3}$$

Fraction \frac{-199}{3} can be rewritten as -\frac{199}{3} by extracting the negative sign.

$$x=-\frac{199}{3}$$