Solve 1-2x/5+2+x/10=x-4/15

$$1 - \frac { 2 x } { 5 } + \frac { 2 + x } { 10 } = \frac { x - 4 } { 15 }$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 5,10,15.

$$30-6\times 2x+3\left(2+x\right)=2\left(x-4\right)$$

Multiply -6 and 2 to get -12.

$$30-12x+3\left(2+x\right)=2\left(x-4\right)$$

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

$$30-12x+6+3x=2\left(x-4\right)$$

Add 30 and 6 to get 36.

$$36-12x+3x=2\left(x-4\right)$$

Combine -12x and 3x to get -9x.

$$36-9x=2\left(x-4\right)$$

Use the distributive property to multiply 2 by x-4.

$$36-9x=2x-8$$

Subtract 2x from both sides.

$$36-9x-2x=-8$$

Combine -9x and -2x to get -11x.

$$36-11x=-8$$

Subtract 36 from both sides.

$$-11x=-8-36$$

Subtract 36 from -8 to get -44.

$$-11x=-44$$

Divide both sides by -11.

$$x=\frac{-44}{-11}$$

Divide -44 by -11 to get 4.

$$x=4$$