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Solve 4x + 12 = 40

The solution of 4x + 12 = 40 is x = 7.

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The lines y = 4x + 12 and y = 40 meet at x = 7246810122030405060x = 7y = 4x + 12y = 40
The lines y = 4x + 12 and y = 40 meet at x = 7. 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.

    4x+12=404x + 12 = 40
  2. 2

    Subtract 12 from both sides:

    4x+12−12=40−12 ⇒ 4x=284x + 12 - 12 = 40 - 12 \ \Rightarrow\ 4x = 28
  3. 3

    Divide both sides by 4:

    4x4=284 ⇒ x=7\frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    4⋅7+12=28+12=40✓4\cdot7 + 12 = 28 + 12 = 40 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 12 = 40\ \Rightarrow\ x = 7 \]
\[ 4x + 12 = 40 \]
\[ 4x + 12 - 12 = 40 - 12 \ \Rightarrow\ 4x = 28 \]
\[ \frac{4x}{4} = \frac{28}{4} \ \Rightarrow\ x = 7 \]
\[ 4\cdot7 + 12 = 28 + 12 = 40 \checkmark \]

Trying values of x in 4x + 12 = 40

x4x + 12Equals 40?
532no
636no
740yes
844no
948no

Questions

What is x in 4x + 12 = 40?

The solution of 4x + 12 = 40 is x = 7.

How do you solve 4x + 12 = 40?

Subtract 12 from both sides to get 4x = 28, then divide both sides by 4 to get x = 7.

How do I check the answer?

Replace x by 7: 4(7) + 12 = 40, which is 40.

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    Solve 4x + 12 = 40: x = 7 (steps and check) | WordGPT