Solve for a a+4b=5b-3a

$a + 4 b = 5 b - 3 a$

Step 1

Move all terms containing $a$ to the left side of the equation.

Add $3 a$ to both sides of the equation.

$a + 4 b + 3 a = 5 b$

Add $a$ and $3 a$ .

$4 a + 4 b = 5 b$

Step 2

Move all terms not containing $a$ to the right side of the equation.

Subtract $4 b$ from both sides of the equation.

$4 a = 5 b - 4 b$

Subtract $4 b$ from $5 b$ .

$4 a = b$

Step 3

Divide each term in $4 a = b$ by $4$ and simplify.

Divide each term in $4 a = b$ by $4$ .

$\frac{4 a}{4} = \frac{b}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 a}{4} = \frac{b}{4}$

Divide $a$ by $1$ .

$a = \frac{b}{4}$