Solve x:5+6x/2=30

$$x : \frac { 5 + 6 x } { 2 } = 30$$

Solve for x

$$x=-\frac{75}{89}\approx -0.842696629$$

Steps for Solving Linear Equation

Divide x by \frac{5+6x}{2} by multiplying x by the reciprocal of \frac{5+6x}{2}.

$$\frac{x\times 2}{5+6x}=30$$

Variable x cannot be equal to -\frac{5}{6} since division by zero is not defined. Multiply both sides of the equation by 6x+5.

$$x\times 2=30\left(6x+5\right)$$

Use the distributive property to multiply 30 by 6x+5.

$$x\times 2=180x+150$$

Subtract 180x from both sides.

$$x\times 2-180x=150$$

Combine x\times 2 and -180x to get -178x.

$$-178x=150$$

Divide both sides by -178.

$$x=\frac{150}{-178}$$

Reduce the fraction \frac{150}{-178} to lowest terms by extracting and canceling out 2.

$$x=-\frac{75}{89}$$