Solve 35x+2/11x+7=5

$$\frac{ 35x+2 }{ 11x+7 } =5$$

Solve for x

$$x = -\frac{33}{20} = -1\frac{13}{20} = -1.65$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{7}{11} since division by zero is not defined. Multiply both sides of the equation by 11x+7.

$$35x+2=5\left(11x+7\right)$$

Use the distributive property to multiply 5 by 11x+7.

$$35x+2=55x+35$$

Subtract 55x from both sides.

$$35x+2-55x=35$$

Combine 35x and -55x to get -20x.

$$-20x+2=35$$

Subtract 2 from both sides.

$$-20x=35-2$$

Subtract 2 from 35 to get 33.

$$-20x=33$$

Divide both sides by -20.

$$x=\frac{33}{-20}$$

Fraction \frac{33}{-20} can be rewritten as -\frac{33}{20} by extracting the negative sign.

$$x=-\frac{33}{20}$$