Solve 6/4=m+5/6

$$\frac { 6 } { 4 } = \frac { m + 5 } { 6 }$$

Solve for m

$$m=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$3\times 6=2\left(m+5\right)$$

Multiply 3 and 6 to get 18.

$$18=2\left(m+5\right)$$

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

$$18=2m+10$$

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

$$2m+10=18$$

Subtract 10 from both sides.

$$2m=18-10$$

Subtract 10 from 18 to get 8.

$$2m=8$$

Divide both sides by 2.

$$m=\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$m=4$$