Solve 2x/3+16/3=-4x/2

Evaluate

(2 \times \frac{x}{3}) + \frac{16}{3} = - (4 \times \frac{x}{2})

Multiply the terms

\frac{2 x}{3} + \frac{16}{3} = - (4 \times \frac{x}{2})

Cancel out the common factor 2

\frac{2 x}{3} + \frac{16}{3} = - 2 x

Multiply both sides of the equation by LCD

(\frac{2 x}{3} + \frac{16}{3}) \times 3 = - 2 x \times 3

Simplify the equation

More Steps

2 x + 16 = - 2 x \times 3

Simplify the equation

2 x + 16 = - 6 x

Move the variable to the left side

2 x + 16 + 6 x = 0

Add the terms

More Steps

8 x + 16 = 0

Move the constant to the right side

8 x = 0 - 16

Removing 0 doesn't change the value,so remove it from the expression

8 x = - 16

Divide both sides

\frac{8 x}{8} = \frac{- 16}{8}

Divide the numbers

x = \frac{- 16}{8}

Solution

More Steps

x = - 2

Solve the equation