Solve 3-x/5-x-1/7+4-x/4=7

$$\frac { 3 - x } { 5 } - \frac { x - 1 } { 7 } + \frac { 4 - x } { 4 } = 7$$

Solve for x

$$x = -\frac{736}{83} = -8\frac{72}{83} \approx -8.86746988$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 140, the least common multiple of 5,7,4.

$$28\left(3-x\right)-20\left(x-1\right)+35\left(4-x\right)=980$$

Use the distributive property to multiply 28 by 3-x.

$$84-28x-20\left(x-1\right)+35\left(4-x\right)=980$$

Use the distributive property to multiply -20 by x-1.

$$84-28x-20x+20+35\left(4-x\right)=980$$

Combine -28x and -20x to get -48x.

$$84-48x+20+35\left(4-x\right)=980$$

Add 84 and 20 to get 104.

$$104-48x+35\left(4-x\right)=980$$

Use the distributive property to multiply 35 by 4-x.

$$104-48x+140-35x=980$$

Add 104 and 140 to get 244.

$$244-48x-35x=980$$

Combine -48x and -35x to get -83x.

$$244-83x=980$$

Subtract 244 from both sides.

$$-83x=980-244$$

Subtract 244 from 980 to get 736.

$$-83x=736$$

Divide both sides by -83.

$$x=\frac{736}{-83}$$

Fraction \frac{736}{-83} can be rewritten as -\frac{736}{83} by extracting the negative sign.

$$x=-\frac{736}{83}$$