Solve 16a/4b=3a+2cx/b

$$\frac { 16 a } { 4 b } = \frac { 3 a + 2 c x } { b }$$

Solve for a

$$a=2cx$$

$$b\neq 0$$

Steps for Solving Linear Equation

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

$$16a=4\left(3a+2cx\right)$$

Use the distributive property to multiply 4 by 3a+2cx.

$$16a=12a+8xc$$

Subtract 12a from both sides.

$$16a-12a=8xc$$

Combine 16a and -12a to get 4a.

$$4a=8xc$$

The equation is in standard form.

$$4a=8cx$$

Divide both sides by 4.

$$\frac{4a}{4}=\frac{8cx}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$a=\frac{8cx}{4}$$

Divide 8xc by 4.

$$a=2cx$$

Solve for b

$$b\neq 0$$

$$a=2cx$$