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Solve 7x + 13 = 83

The solution of 7x + 13 = 83 is x = 10.

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The lines y = 7x + 13 and y = 83 meet at x = 1046810121416406080100120x = 10y = 7x + 13y = 83
The lines y = 7x + 13 and y = 83 meet at x = 10. 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.

    7x+13=837x + 13 = 83
  2. 2

    Subtract 13 from both sides:

    7x+13−13=83−13 ⇒ 7x=707x + 13 - 13 = 83 - 13 \ \Rightarrow\ 7x = 70
  3. 3

    Divide both sides by 7:

    7x7=707 ⇒ x=10\frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10
  4. 4

    Check: put x = 10 back into the equation.

    7⋅10+13=70+13=83✓7\cdot10 + 13 = 70 + 13 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 13 = 83\ \Rightarrow\ x = 10 \]
\[ 7x + 13 = 83 \]
\[ 7x + 13 - 13 = 83 - 13 \ \Rightarrow\ 7x = 70 \]
\[ \frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10 \]
\[ 7\cdot10 + 13 = 70 + 13 = 83 \checkmark \]

Trying values of x in 7x + 13 = 83

x7x + 13Equals 83?
869no
976no
1083yes
1190no
1297no

Questions

What is x in 7x + 13 = 83?

The solution of 7x + 13 = 83 is x = 10.

How do you solve 7x + 13 = 83?

Subtract 13 from both sides to get 7x = 70, then divide both sides by 7 to get x = 10.

How do I check the answer?

Replace x by 10: 7(10) + 13 = 83, which is 83.

Similar equations

    Solve 7x + 13 = 83: x = 10 (steps and check) | WordGPT