Solve g-3/5=g-7/7

$$\frac { g - 3 } { 5 } = \frac { g - 7 } { 7 }$$

Solve for g

$$g=-7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 35, the least common multiple of 5,7.

$$7\left(g-3\right)=5\left(g-7\right)$$

Use the distributive property to multiply 7 by g-3.

$$7g-21=5\left(g-7\right)$$

Use the distributive property to multiply 5 by g-7.

$$7g-21=5g-35$$

Subtract 5g from both sides.

$$7g-21-5g=-35$$

Combine 7g and -5g to get 2g.

$$2g-21=-35$$

Add 21 to both sides.

$$2g=-35+21$$

Add -35 and 21 to get -14.

$$2g=-14$$

Divide both sides by 2.

$$g=\frac{-14}{2}$$

Divide -14 by 2 to get -7.

$$g=-7$$