Solve 13+4(2x-1)=5(x+2)(R

$$13 + 4 ( 2 x - 1 ) = 5 ( x + 2 ) ( R$$

Solve for R

$$R=\frac{8x+9}{5\left(x+2\right)}$$

$$x\neq -2$$

Steps for Solving Linear Equation

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

$$13+8x-4=5\left(x+2\right)R$$

Subtract 4 from 13 to get 9.

$$9+8x=5\left(x+2\right)R$$

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

$$9+8x=\left(5x+10\right)R$$

Use the distributive property to multiply 5x+10 by R.

$$9+8x=5xR+10R$$

Swap sides so that all variable terms are on the left hand side.

$$5xR+10R=9+8x$$

Combine all terms containing R.

$$\left(5x+10\right)R=9+8x$$

The equation is in standard form.

$$\left(5x+10\right)R=8x+9$$

Divide both sides by 5x+10.

$$\frac{\left(5x+10\right)R}{5x+10}=\frac{8x+9}{5x+10}$$

Dividing by 5x+10 undoes the multiplication by 5x+10.

$$R=\frac{8x+9}{5x+10}$$

Divide 8x+9 by 5x+10.

$$R=\frac{8x+9}{5\left(x+2\right)}$$

Solve for x

$$x=-\frac{9-10R}{8-5R}$$

$$R\neq \frac{8}{5}$$

Steps for Solving Linear Equation

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

$$13+8x-4=5\left(x+2\right)R$$

Subtract 4 from 13 to get 9.

$$9+8x=5\left(x+2\right)R$$

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

$$9+8x=\left(5x+10\right)R$$

Use the distributive property to multiply 5x+10 by R.

$$9+8x=5xR+10R$$

Subtract 5xR from both sides.

$$9+8x-5xR=10R$$

Subtract 9 from both sides.

$$8x-5xR=10R-9$$

Combine all terms containing x.

$$\left(8-5R\right)x=10R-9$$

Divide both sides by -5R+8.

$$\frac{\left(8-5R\right)x}{8-5R}=\frac{10R-9}{8-5R}$$

Dividing by -5R+8 undoes the multiplication by -5R+8.

$$x=\frac{10R-9}{8-5R}$$