Solve a+7/4=3a-7/5

$$\frac { a + 7 } { 4 } = \frac { 3 a - 7 } { 5 }$$

Solve for a

$$a=9$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5\left(a+7\right)=4\left(3a-7\right)$$

Use the distributive property to multiply 5 by a+7.

$$5a+35=4\left(3a-7\right)$$

Use the distributive property to multiply 4 by 3a-7.

$$5a+35=12a-28$$

Subtract 12a from both sides.

$$5a+35-12a=-28$$

Combine 5a and -12a to get -7a.

$$-7a+35=-28$$

Subtract 35 from both sides.

$$-7a=-28-35$$

Subtract 35 from -28 to get -63.

$$-7a=-63$$

Divide both sides by -7.

$$a=\frac{-63}{-7}$$

Divide -63 by -7 to get 9.

$$a=9$$