Solve 4-x/113=x+2/5

$$\frac { 4 - x } { 113 } = \frac { x + 2 } { 5 }$$

Solve for x

$$x = -\frac{103}{59} = -1\frac{44}{59} \approx -1.745762712$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 565, the least common multiple of 113,5.

$$5\left(4-x\right)=113\left(x+2\right)$$

Use the distributive property to multiply 5 by 4-x.

$$20-5x=113\left(x+2\right)$$

Use the distributive property to multiply 113 by x+2.

$$20-5x=113x+226$$

Subtract 113x from both sides.

$$20-5x-113x=226$$

Combine -5x and -113x to get -118x.

$$20-118x=226$$

Subtract 20 from both sides.

$$-118x=226-20$$

Subtract 20 from 226 to get 206.

$$-118x=206$$

Divide both sides by -118.

$$x=\frac{206}{-118}$$

Reduce the fraction \frac{206}{-118} to lowest terms by extracting and canceling out 2.

$$x=-\frac{103}{59}$$