Solve 7/x+35=1/10

$$\frac { 7 } { x } + 35 = \frac { 1 } { 10 }$$

Solve for x

$$x=-\frac{70}{349}\approx -0.200573066$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of x,10.

$$10\times 7+10x\times 35=x$$

Multiply 10 and 7 to get 70.

$$70+10x\times 35=x$$

Multiply 10 and 35 to get 350.

$$70+350x=x$$

Subtract x from both sides.

$$70+350x-x=0$$

Combine 350x and -x to get 349x.

$$70+349x=0$$

Subtract 70 from both sides. Anything subtracted from zero gives its negation.

$$349x=-70$$

Divide both sides by 349.

$$x=\frac{-70}{349}$$

Fraction \frac{-70}{349} can be rewritten as -\frac{70}{349} by extracting the negative sign.

$$x=-\frac{70}{349}$$