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

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

Solve for x

$$x=40$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\times 2\left(x+5\right)+30=3\times 4x$$

Multiply 5 and 2 to get 10.

$$10\left(x+5\right)+30=3\times 4x$$

Use the distributive property to multiply 10 by x+5.

$$10x+50+30=3\times 4x$$

Add 50 and 30 to get 80.

$$10x+80=3\times 4x$$

Multiply 3 and 4 to get 12.

$$10x+80=12x$$

Subtract 12x from both sides.

$$10x+80-12x=0$$

Combine 10x and -12x to get -2x.

$$-2x+80=0$$

Subtract 80 from both sides. Anything subtracted from zero gives its negation.

$$-2x=-80$$

Divide both sides by -2.

$$x=\frac{-80}{-2}$$

Divide -80 by -2 to get 40.

$$x=40$$