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Solve 3x + 4 = 40

The solution of 3x + 4 = 40 is x = 12.

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The lines y = 3x + 4 and y = 40 meet at x = 12681012141618202530354045505560x = 12y = 3x + 4y = 40
The lines y = 3x + 4 and y = 40 meet at x = 12. 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+4=403x + 4 = 40
  2. 2

    Subtract 4 from both sides:

    3x+4−4=40−4 ⇒ 3x=363x + 4 - 4 = 40 - 4 \ \Rightarrow\ 3x = 36
  3. 3

    Divide both sides by 3:

    3x3=363 ⇒ x=12\frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    3⋅12+4=36+4=40✓3\cdot12 + 4 = 36 + 4 = 40 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 4 = 40\ \Rightarrow\ x = 12 \]
\[ 3x + 4 = 40 \]
\[ 3x + 4 - 4 = 40 - 4 \ \Rightarrow\ 3x = 36 \]
\[ \frac{3x}{3} = \frac{36}{3} \ \Rightarrow\ x = 12 \]
\[ 3\cdot12 + 4 = 36 + 4 = 40 \checkmark \]

Trying values of x in 3x + 4 = 40

x3x + 4Equals 40?
1034no
1137no
1240yes
1343no
1446no

Questions

What is x in 3x + 4 = 40?

The solution of 3x + 4 = 40 is x = 12.

How do you solve 3x + 4 = 40?

Subtract 4 from both sides to get 3x = 36, then divide both sides by 3 to get x = 12.

How do I check the answer?

Replace x by 12: 3(12) + 4 = 40, which is 40.

Similar equations

    Solve 3x + 4 = 40: x = 12 (steps and check) | WordGPT