Solve 455=1/2(8+z)7

$$455= \frac{ 1 }{ 2 } (8+z)7$$

Solve for z

$$z=122$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 7 to get \frac{7}{2}.

$$455=\frac{7}{2}\left(8+z\right)$$

Use the distributive property to multiply \frac{7}{2} by 8+z.

$$455=\frac{7}{2}\times 8+\frac{7}{2}z$$

Express \frac{7}{2}\times 8 as a single fraction.

$$455=\frac{7\times 8}{2}+\frac{7}{2}z$$

Multiply 7 and 8 to get 56.

$$455=\frac{56}{2}+\frac{7}{2}z$$

Divide 56 by 2 to get 28.

$$455=28+\frac{7}{2}z$$

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

$$28+\frac{7}{2}z=455$$

Subtract 28 from both sides.

$$\frac{7}{2}z=455-28$$

Subtract 28 from 455 to get 427.

$$\frac{7}{2}z=427$$

Multiply both sides by \frac{2}{7}, the reciprocal of \frac{7}{2}.

$$z=427\times \frac{2}{7}$$

Express 427\times \frac{2}{7} as a single fraction.

$$z=\frac{427\times 2}{7}$$

Multiply 427 and 2 to get 854.

$$z=\frac{854}{7}$$

Divide 854 by 7 to get 122.

$$z=122$$