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Solve 3x + 7 = 40

The solution of 3x + 7 = 40 is x = 11.

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The lines y = 3x + 7 and y = 40 meet at x = 116810121416202530354045505560x = 11y = 3x + 7y = 40
The lines y = 3x + 7 and y = 40 meet at x = 11. 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.

    3x+7=403x + 7 = 40
  2. 2

    Subtract 7 from both sides:

    3x+7−7=40−7 ⇒ 3x=333x + 7 - 7 = 40 - 7 \ \Rightarrow\ 3x = 33
  3. 3

    Divide both sides by 3:

    3x3=333 ⇒ x=11\frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    3⋅11+7=33+7=40✓3\cdot11 + 7 = 33 + 7 = 40 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 40\ \Rightarrow\ x = 11 \]
\[ 3x + 7 = 40 \]
\[ 3x + 7 - 7 = 40 - 7 \ \Rightarrow\ 3x = 33 \]
\[ \frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11 \]
\[ 3\cdot11 + 7 = 33 + 7 = 40 \checkmark \]

Trying values of x in 3x + 7 = 40

x3x + 7Equals 40?
934no
1037no
1140yes
1243no
1346no

Questions

What is x in 3x + 7 = 40?

The solution of 3x + 7 = 40 is x = 11.

How do you solve 3x + 7 = 40?

Subtract 7 from both sides to get 3x = 33, then divide both sides by 3 to get x = 11.

How do I check the answer?

Replace x by 11: 3(11) + 7 = 40, which is 40.

Similar equations

    Solve 3x + 7 = 40: x = 11 (steps and check) | WordGPT