Solve 3r+18/12=2r-1/7

$$\frac { 3 r + 18 } { 12 } = \frac { 2 r - 1 } { 7 }$$

Solve for r

$$r=46$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 84, the least common multiple of 12,7.

$$7\left(3r+18\right)=12\left(2r-1\right)$$

Use the distributive property to multiply 7 by 3r+18.

$$21r+126=12\left(2r-1\right)$$

Use the distributive property to multiply 12 by 2r-1.

$$21r+126=24r-12$$

Subtract 24r from both sides.

$$21r+126-24r=-12$$

Combine 21r and -24r to get -3r.

$$-3r+126=-12$$

Subtract 126 from both sides.

$$-3r=-12-126$$

Subtract 126 from -12 to get -138.

$$-3r=-138$$

Divide both sides by -3.

$$r=\frac{-138}{-3}$$

Divide -138 by -3 to get 46.

$$r=46$$