Solve 8+4+3+x/22+6+7+x=.07

$$\frac{ 8+4+3+x }{ 22+6+7+x } =.07$$

Solve for x

$$x = -\frac{1255}{93} = -13\frac{46}{93} \approx -13.494623656$$

Steps for Solving Linear Equation

Variable x cannot be equal to -35 since division by zero is not defined. Multiply both sides of the equation by x+35.

$$8+4+3+x=0.07\left(x+35\right)$$

Add 8 and 4 to get 12.

$$12+3+x=0.07\left(x+35\right)$$

Add 12 and 3 to get 15.

$$15+x=0.07\left(x+35\right)$$

Use the distributive property to multiply 0.07 by x+35.

$$15+x=0.07x+2.45$$

Subtract 0.07x from both sides.

$$15+x-0.07x=2.45$$

Combine x and -0.07x to get 0.93x.

$$15+0.93x=2.45$$

Subtract 15 from both sides.

$$0.93x=2.45-15$$

Subtract 15 from 2.45 to get -12.55.

$$0.93x=-12.55$$

Divide both sides by 0.93.

$$x=\frac{-12.55}{0.93}$$

Expand \frac{-12.55}{0.93} by multiplying both numerator and the denominator by 100.

$$x=\frac{-1255}{93}$$

Fraction \frac{-1255}{93} can be rewritten as -\frac{1255}{93} by extracting the negative sign.

$$x=-\frac{1255}{93}$$