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Solve 3x + 12 = 45

The solution of 3x + 12 = 45 is x = 11.

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The lines y = 3x + 12 and y = 45 meet at x = 116810121416253035404550556065x = 11y = 3x + 12y = 45
The lines y = 3x + 12 and y = 45 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+12=453x + 12 = 45
  2. 2

    Subtract 12 from both sides:

    3x+12−12=45−12 ⇒ 3x=333x + 12 - 12 = 45 - 12 \ \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+12=33+12=45✓3\cdot11 + 12 = 33 + 12 = 45 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 12 = 45\ \Rightarrow\ x = 11 \]
\[ 3x + 12 = 45 \]
\[ 3x + 12 - 12 = 45 - 12 \ \Rightarrow\ 3x = 33 \]
\[ \frac{3x}{3} = \frac{33}{3} \ \Rightarrow\ x = 11 \]
\[ 3\cdot11 + 12 = 33 + 12 = 45 \checkmark \]

Trying values of x in 3x + 12 = 45

x3x + 12Equals 45?
939no
1042no
1145yes
1248no
1351no

Questions

What is x in 3x + 12 = 45?

The solution of 3x + 12 = 45 is x = 11.

How do you solve 3x + 12 = 45?

Subtract 12 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) + 12 = 45, which is 45.

Similar equations

    Solve 3x + 12 = 45: x = 11 (steps and check) | WordGPT