Solve x-2/3=2x+4/10

$$\frac { x - 2 } { 3 } = \frac { 2 x + 4 } { 10 }$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 3,10.

$$10\left(x-2\right)=3\left(2x+4\right)$$

Use the distributive property to multiply 10 by x-2.

$$10x-20=3\left(2x+4\right)$$

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

$$10x-20=6x+12$$

Subtract 6x from both sides.

$$10x-20-6x=12$$

Combine 10x and -6x to get 4x.

$$4x-20=12$$

Add 20 to both sides.

$$4x=12+20$$

Add 12 and 20 to get 32.

$$4x=32$$

Divide both sides by 4.

$$x=\frac{32}{4}$$

Divide 32 by 4 to get 8.

$$x=8$$