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Solve 3x + 8 = 59

The solution of 3x + 8 = 59 is x = 17.

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The lines y = 3x + 8 and y = 59 meet at x = 17121416182022404550556065707580x = 17y = 3x + 8y = 59
The lines y = 3x + 8 and y = 59 meet at x = 17. The solution of the equation is the x-coordinate of the point where the two sides are equal.

How to work it out

  1. 1

    The goal is to get x alone. Undo the operations in the opposite order: first the addition, then the multiplication.

    3x+8=593x + 8 = 59
  2. 2

    Subtract 8 from both sides:

    3x+8−8=59−8 ⇒ 3x=513x + 8 - 8 = 59 - 8 \ \Rightarrow\ 3x = 51
  3. 3

    Divide both sides by 3:

    3x3=513 ⇒ x=17\frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    3⋅17+8=51+8=59✓3\cdot17 + 8 = 51 + 8 = 59 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 8 = 59\ \Rightarrow\ x = 17 \]
\[ 3x + 8 = 59 \]
\[ 3x + 8 - 8 = 59 - 8 \ \Rightarrow\ 3x = 51 \]
\[ \frac{3x}{3} = \frac{51}{3} \ \Rightarrow\ x = 17 \]
\[ 3\cdot17 + 8 = 51 + 8 = 59 \checkmark \]

Trying values of x in 3x + 8 = 59

x3x + 8Equals 59?
1553no
1656no
1759yes
1862no
1965no

Questions

What is x in 3x + 8 = 59?

The solution of 3x + 8 = 59 is x = 17.

How do you solve 3x + 8 = 59?

Subtract 8 from both sides to get 3x = 51, then divide both sides by 3 to get x = 17.

How do I check the answer?

Replace x by 17: 3(17) + 8 = 59, which is 59.

Similar equations

    Solve 3x + 8 = 59: x = 17 (steps and check) | WordGPT