Solve 15div1/6=(x+10)*5

$$15 \div \frac{ 1 }{ 6 } =(x+10) \times 5$$

Solve for x

$$x=8$$

Steps for Solving Linear Equation

Divide 15 by \frac{1}{6} by multiplying 15 by the reciprocal of \frac{1}{6}.

$$15\times 6=\left(x+10\right)\times 5$$

Multiply 15 and 6 to get 90.

$$90=\left(x+10\right)\times 5$$

Use the distributive property to multiply x+10 by 5.

$$90=5x+50$$

Swap sides so that all variable terms are on the left hand side.

$$5x+50=90$$

Subtract 50 from both sides.

$$5x=90-50$$

Subtract 50 from 90 to get 40.

$$5x=40$$

Divide both sides by 5.

$$x=\frac{40}{5}$$

Divide 40 by 5 to get 8.

$$x=8$$