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Solve 5x + 3 = 83

The solution of 5x + 3 = 83 is x = 16.

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The lines y = 5x + 3 and y = 83 meet at x = 16101214161820225060708090100110x = 16y = 5x + 3y = 83
The lines y = 5x + 3 and y = 83 meet at x = 16. 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.

    5x+3=835x + 3 = 83
  2. 2

    Subtract 3 from both sides:

    5x+3−3=83−3 ⇒ 5x=805x + 3 - 3 = 83 - 3 \ \Rightarrow\ 5x = 80
  3. 3

    Divide both sides by 5:

    5x5=805 ⇒ x=16\frac{5x}{5} = \frac{80}{5} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    5⋅16+3=80+3=83✓5\cdot16 + 3 = 80 + 3 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 3 = 83\ \Rightarrow\ x = 16 \]
\[ 5x + 3 = 83 \]
\[ 5x + 3 - 3 = 83 - 3 \ \Rightarrow\ 5x = 80 \]
\[ \frac{5x}{5} = \frac{80}{5} \ \Rightarrow\ x = 16 \]
\[ 5\cdot16 + 3 = 80 + 3 = 83 \checkmark \]

Trying values of x in 5x + 3 = 83

x5x + 3Equals 83?
1473no
1578no
1683yes
1788no
1893no

Questions

What is x in 5x + 3 = 83?

The solution of 5x + 3 = 83 is x = 16.

How do you solve 5x + 3 = 83?

Subtract 3 from both sides to get 5x = 80, then divide both sides by 5 to get x = 16.

How do I check the answer?

Replace x by 16: 5(16) + 3 = 83, which is 83.

Similar equations

    Solve 5x + 3 = 83: x = 16 (steps and check) | WordGPT