Solve 8m+6/2+6=10m+5/7

$$\frac { 8 m + 6 } { 2 } + 6 = \frac { 10 m + 5 } { 7 }$$

Solve for m

$$m = -\frac{29}{9} = -3\frac{2}{9} \approx -3.222222222$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 2,7.

$$7\left(8m+6\right)+84=2\left(10m+5\right)$$

Use the distributive property to multiply 7 by 8m+6.

$$56m+42+84=2\left(10m+5\right)$$

Add 42 and 84 to get 126.

$$56m+126=2\left(10m+5\right)$$

Use the distributive property to multiply 2 by 10m+5.

$$56m+126=20m+10$$

Subtract 20m from both sides.

$$56m+126-20m=10$$

Combine 56m and -20m to get 36m.

$$36m+126=10$$

Subtract 126 from both sides.

$$36m=10-126$$

Subtract 126 from 10 to get -116.

$$36m=-116$$

Divide both sides by 36.

$$m=\frac{-116}{36}$$

Reduce the fraction \frac{-116}{36} to lowest terms by extracting and canceling out 4.

$$m=-\frac{29}{9}$$