Solve x-2/5+x+2/3=8/10

$$\frac { x - 2 } { 5 } + \frac { x + 2 } { 3 } = \frac { 8 } { 10 }$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,3,10.

$$6\left(x-2\right)+10\left(x+2\right)=3\times 8$$

Use the distributive property to multiply 6 by x-2.

$$6x-12+10\left(x+2\right)=3\times 8$$

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

$$6x-12+10x+20=3\times 8$$

Combine 6x and 10x to get 16x.

$$16x-12+20=3\times 8$$

Add -12 and 20 to get 8.

$$16x+8=3\times 8$$

Multiply 3 and 8 to get 24.

$$16x+8=24$$

Subtract 8 from both sides.

$$16x=24-8$$

Subtract 8 from 24 to get 16.

$$16x=16$$

Divide both sides by 16.

$$x=\frac{16}{16}$$

Divide 16 by 16 to get 1.

$$x=1$$