Question

Solve the linear equation x + 3 + x − 8 + x = 55.

Answer 1

Given:-

Solve the linear equation x + 3 + x − 8 + x = 55.

Solution:-

x+3+x−8+x = 55

x+x+x+3−8 = 55

3x−5 = 55

3x = 55+5

3x = 60

x = 60 ÷ 3

x = 20

Answer 2

Answer:

Simplifying

x + 3 + x + -8 + x = 55

Reorder the terms:

3 + -8 + x + x + x = 55

Combine like terms: 3 + -8 = -5

-5 + x + x + x = 55

Combine like terms: x + x = 2x

-5 + 2x + x = 55

Combine like terms: 2x + x = 3x

-5 + 3x = 55

Solving

-5 + 3x = 55

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + 3x = 55 + 5

Combine like terms: -5 + 5 = 0

0 + 3x = 55 + 5

3x = 55 + 5

Combine like terms: 55 + 5 = 60

3x = 60

Divide each side by '3'.

x = 20

Simplifying

x = 20

Step-by-step explanation:

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