Solve 4(1/6x+10)=5/6x-10

$$4 ( \frac { 1 } { 6 } x + 10 ) = \frac { 5 } { 6 } x - 10$$

Solve for x

$$x=300$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by \frac{1}{6}x+10.

$$4\times \frac{1}{6}x+40=\frac{5}{6}x-10$$

Multiply 4 and \frac{1}{6} to get \frac{4}{6}.

$$\frac{4}{6}x+40=\frac{5}{6}x-10$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}x+40=\frac{5}{6}x-10$$

Subtract \frac{5}{6}x from both sides.

$$\frac{2}{3}x+40-\frac{5}{6}x=-10$$

Combine \frac{2}{3}x and -\frac{5}{6}x to get -\frac{1}{6}x.

$$-\frac{1}{6}x+40=-10$$

Subtract 40 from both sides.

$$-\frac{1}{6}x=-10-40$$

Subtract 40 from -10 to get -50.

$$-\frac{1}{6}x=-50$$

Multiply both sides by -6, the reciprocal of -\frac{1}{6}.

$$x=-50\left(-6\right)$$

Multiply -50 and -6 to get 300.

$$x=300$$