Solve w-1/2-7w+6/8=-5

$$\frac { w - 1 } { 2 } - \frac { 7 w + 6 } { 8 } = - 5$$

Solve for w

$$w=10$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,8.

$$4\left(w-1\right)-\left(7w+6\right)=-40$$

Use the distributive property to multiply 4 by w-1.

$$4w-4-\left(7w+6\right)=-40$$

To find the opposite of 7w+6, find the opposite of each term.

$$4w-4-7w-6=-40$$

Combine 4w and -7w to get -3w.

$$-3w-4-6=-40$$

Subtract 6 from -4 to get -10.

$$-3w-10=-40$$

Add 10 to both sides.

$$-3w=-40+10$$

Add -40 and 10 to get -30.

$$-3w=-30$$

Divide both sides by -3.

$$w=\frac{-30}{-3}$$

Divide -30 by -3 to get 10.

$$w=10$$