How do I solve 1/3x + (2x+8) +x = 205

Answer 1

Hello, Meghean,

The term 1/3x, as written, could mean 1/(3x), but I will assume it is supposed to represent (1/3)x. Use the parentheses to make it clear.

First, combine the like terms:

(1/3)x + (2x+8) +x = 205

(1/3)x + 3x+8 = 205

Then, let's multiply both sides by 3 to make the 1/3 equal to 1. (Not really necessary, but it makes the calculation easier once the fraction is removed. See the note below)

1x + 3*3x + 24 = 615

That adds to a total of 10X

10x + 24 = 615

Subtract 24 from both sides

10x = 591

Divide both sides by 10

x = 59.1

Bob

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If you like fractions, you can solve the equation without multiplying by 3:

(1/3)x + 3x+8 = 205

(10/3)x + 8 = 205

(10/3)x = 197

x = (3/10)*197

x = 3*(19.7)

x = 59.1

Answer 2

First, combine all of the "X" on each side of the equation and all of the "Non-X" on each side of the equation.

10/3 X + 8 = 205

Subtract 8 from both sides of the equation.

10/3 X + 8 - 8 = 205 - 8

10/3 X = 197

Multiply both sides of the equation by 3/10

(3/10) (10/3) X = (3/10) (197)

X = 59.1

If you have further questions, please contact me. Thank-you.