Solve x/10-3+2/14=2x+x/5-1/2

$$\frac { x } { 10 } - \frac { 3 + 2 } { 14 } = \frac { 2 x + x } { 5 } - \frac { 1 } { 2 }$$

Solve for x

$$x=\frac{2}{7}\approx 0.285714286$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 70, the least common multiple of 10,14,5,2.

$$7x-5\left(3+2\right)=14\left(2x+x\right)-35$$

Add 3 and 2 to get 5.

$$7x-5\times 5=14\left(2x+x\right)-35$$

Multiply -5 and 5 to get -25.

$$7x-25=14\left(2x+x\right)-35$$

Combine 2x and x to get 3x.

$$7x-25=14\times 3x-35$$

Multiply 14 and 3 to get 42.

$$7x-25=42x-35$$

Subtract 42x from both sides.

$$7x-25-42x=-35$$

Combine 7x and -42x to get -35x.

$$-35x-25=-35$$

Add 25 to both sides.

$$-35x=-35+25$$

Add -35 and 25 to get -10.

$$-35x=-10$$

Divide both sides by -35.

$$x=\frac{-10}{-35}$$

Reduce the fraction \frac{-10}{-35} to lowest terms by extracting and canceling out -5.

$$x=\frac{2}{7}$$