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Solve 7x + 3 = 17

The solution of 7x + 3 = 17 is x = 2.

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The lines y = 7x + 3 and y = 17 meet at x = 2-4-22468-20204060x = 2y = 7x + 3y = 17
The lines y = 7x + 3 and y = 17 meet at x = 2. 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+3=177x + 3 = 17
  2. 2

    Subtract 3 from both sides:

    7x+3−3=17−3 ⇒ 7x=147x + 3 - 3 = 17 - 3 \ \Rightarrow\ 7x = 14
  3. 3

    Divide both sides by 7:

    7x7=147 ⇒ x=2\frac{7x}{7} = \frac{14}{7} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    7⋅2+3=14+3=17✓7\cdot2 + 3 = 14 + 3 = 17 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 3 = 17\ \Rightarrow\ x = 2 \]
\[ 7x + 3 = 17 \]
\[ 7x + 3 - 3 = 17 - 3 \ \Rightarrow\ 7x = 14 \]
\[ \frac{7x}{7} = \frac{14}{7} \ \Rightarrow\ x = 2 \]
\[ 7\cdot2 + 3 = 14 + 3 = 17 \checkmark \]

Trying values of x in 7x + 3 = 17

x7x + 3Equals 17?
03no
110no
217yes
324no
431no

Questions

What is x in 7x + 3 = 17?

The solution of 7x + 3 = 17 is x = 2.

How do you solve 7x + 3 = 17?

Subtract 3 from both sides to get 7x = 14, then divide both sides by 7 to get x = 2.

How do I check the answer?

Replace x by 2: 7(2) + 3 = 17, which is 17.

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