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Solve 10x + 3 = 83

The solution of 10x + 3 = 83 is x = 8.

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The lines y = 10x + 3 and y = 83 meet at x = 8246810121420406080100120140x = 8y = 10x + 3y = 83
The lines y = 10x + 3 and y = 83 meet at x = 8. 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.

    10x+3=8310x + 3 = 83
  2. 2

    Subtract 3 from both sides:

    10x+3−3=83−3 ⇒ 10x=8010x + 3 - 3 = 83 - 3 \ \Rightarrow\ 10x = 80
  3. 3

    Divide both sides by 10:

    10x10=8010 ⇒ x=8\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    10⋅8+3=80+3=83✓10\cdot8 + 3 = 80 + 3 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 3 = 83\ \Rightarrow\ x = 8 \]
\[ 10x + 3 = 83 \]
\[ 10x + 3 - 3 = 83 - 3 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 + 3 = 80 + 3 = 83 \checkmark \]

Trying values of x in 10x + 3 = 83

x10x + 3Equals 83?
663no
773no
883yes
993no
10103no

Questions

What is x in 10x + 3 = 83?

The solution of 10x + 3 = 83 is x = 8.

How do you solve 10x + 3 = 83?

Subtract 3 from both sides to get 10x = 80, then divide both sides by 10 to get x = 8.

How do I check the answer?

Replace x by 8: 10(8) + 3 = 83, which is 83.

Similar equations

    Solve 10x + 3 = 83: x = 8 (steps and check) | WordGPT