Solve 2/3x+2/5x+3/5x+4=2x

$$\frac{ 2 }{ 3 } x+ \frac{ 2 }{ 5 } x+ \frac{ 3 }{ 5 } x+4=2x$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Combine \frac{2}{3}x and \frac{2}{5}x to get \frac{16}{15}x.

$$\frac{16}{15}x+\frac{3}{5}x+4=2x$$

Combine \frac{16}{15}x and \frac{3}{5}x to get \frac{5}{3}x.

$$\frac{5}{3}x+4=2x$$

Subtract 2x from both sides.

$$\frac{5}{3}x+4-2x=0$$

Combine \frac{5}{3}x and -2x to get -\frac{1}{3}x.

$$-\frac{1}{3}x+4=0$$

Subtract 4 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{1}{3}x=-4$$

Multiply both sides by -3, the reciprocal of -\frac{1}{3}.

$$x=-4\left(-3\right)$$

Multiply -4 and -3 to get 12.

$$x=12$$