Solve 2/3(1/2x-5)=x+1/6-3

$$\frac { 2 } { 3 } ( \frac { 1 } { 2 } x - 5 ) = \frac { x + 1 } { 6 } - 3$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2,6.

$$4\left(\frac{1}{2}x-5\right)=x+1-18$$

Use the distributive property to multiply 4 by \frac{1}{2}x-5.

$$4\times \frac{1}{2}x-20=x+1-18$$

Multiply 4 and \frac{1}{2} to get \frac{4}{2}.

$$\frac{4}{2}x-20=x+1-18$$

Divide 4 by 2 to get 2.

$$2x-20=x+1-18$$

Subtract 18 from 1 to get -17.

$$2x-20=x-17$$

Subtract x from both sides.

$$2x-20-x=-17$$

Combine 2x and -x to get x.

$$x-20=-17$$

Add 20 to both sides.

$$x=-17+20$$

Add -17 and 20 to get 3.

$$x=3$$