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Solve 7x + 2 = 72

The solution of 7x + 2 = 72 is x = 10.

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The lines y = 7x + 2 and y = 72 meet at x = 1046810121416406080100120x = 10y = 7x + 2y = 72
The lines y = 7x + 2 and y = 72 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+2=727x + 2 = 72
  2. 2

    Subtract 2 from both sides:

    7x+2−2=72−2 ⇒ 7x=707x + 2 - 2 = 72 - 2 \ \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+2=70+2=72✓7\cdot10 + 2 = 70 + 2 = 72 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 2 = 72\ \Rightarrow\ x = 10 \]
\[ 7x + 2 = 72 \]
\[ 7x + 2 - 2 = 72 - 2 \ \Rightarrow\ 7x = 70 \]
\[ \frac{7x}{7} = \frac{70}{7} \ \Rightarrow\ x = 10 \]
\[ 7\cdot10 + 2 = 70 + 2 = 72 \checkmark \]

Trying values of x in 7x + 2 = 72

x7x + 2Equals 72?
858no
965no
1072yes
1179no
1286no

Questions

What is x in 7x + 2 = 72?

The solution of 7x + 2 = 72 is x = 10.

How do you solve 7x + 2 = 72?

Subtract 2 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) + 2 = 72, which is 72.

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    Solve 7x + 2 = 72: x = 10 (steps and check) | WordGPT