Solve 5(r-1)=2(r-4)-6

$$5 ( r - 1 ) = 2 ( r - 4 ) - 6$$

Solve for r

$$r=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by r-1.

$$5r-5=2\left(r-4\right)-6$$

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

$$5r-5=2r-8-6$$

Subtract 6 from -8 to get -14.

$$5r-5=2r-14$$

Subtract 2r from both sides.

$$5r-5-2r=-14$$

Combine 5r and -2r to get 3r.

$$3r-5=-14$$

Add 5 to both sides.

$$3r=-14+5$$

Add -14 and 5 to get -9.

$$3r=-9$$

Divide both sides by 3.

$$r=\frac{-9}{3}$$

Divide -9 by 3 to get -3.

$$r=-3$$