Solve {5/3*(a+4)=2*(a-3)/4+56

$$\{ \frac { 5 } { 3 } \cdot ( a + 4 ) = \frac { 2 \cdot ( a - 3 ) } { 4 } + 56$$

Solve for a

$$a=41$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$20\left(a+4\right)=3\times 2\left(a-3\right)+672$$

Use the distributive property to multiply 20 by a+4.

$$20a+80=3\times 2\left(a-3\right)+672$$

Multiply 3 and 2 to get 6.

$$20a+80=6\left(a-3\right)+672$$

Use the distributive property to multiply 6 by a-3.

$$20a+80=6a-18+672$$

Add -18 and 672 to get 654.

$$20a+80=6a+654$$

Subtract 6a from both sides.

$$20a+80-6a=654$$

Combine 20a and -6a to get 14a.

$$14a+80=654$$

Subtract 80 from both sides.

$$14a=654-80$$

Subtract 80 from 654 to get 574.

$$14a=574$$

Divide both sides by 14.

$$a=\frac{574}{14}$$

Divide 574 by 14 to get 41.

$$a=41$$