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Solve 3x + 2 = 56

The solution of 3x + 2 = 56 is x = 18.

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The lines y = 3x + 2 and y = 56 meet at x = 1812141618202224354045505560657075x = 18y = 3x + 2y = 56
The lines y = 3x + 2 and y = 56 meet at x = 18. 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+2=563x + 2 = 56
  2. 2

    Subtract 2 from both sides:

    3x+2−2=56−2 ⇒ 3x=543x + 2 - 2 = 56 - 2 \ \Rightarrow\ 3x = 54
  3. 3

    Divide both sides by 3:

    3x3=543 ⇒ x=18\frac{3x}{3} = \frac{54}{3} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    3⋅18+2=54+2=56✓3\cdot18 + 2 = 54 + 2 = 56 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 2 = 56\ \Rightarrow\ x = 18 \]
\[ 3x + 2 = 56 \]
\[ 3x + 2 - 2 = 56 - 2 \ \Rightarrow\ 3x = 54 \]
\[ \frac{3x}{3} = \frac{54}{3} \ \Rightarrow\ x = 18 \]
\[ 3\cdot18 + 2 = 54 + 2 = 56 \checkmark \]

Trying values of x in 3x + 2 = 56

x3x + 2Equals 56?
1650no
1753no
1856yes
1959no
2062no

Questions

What is x in 3x + 2 = 56?

The solution of 3x + 2 = 56 is x = 18.

How do you solve 3x + 2 = 56?

Subtract 2 from both sides to get 3x = 54, then divide both sides by 3 to get x = 18.

How do I check the answer?

Replace x by 18: 3(18) + 2 = 56, which is 56.

Similar equations

    Solve 3x + 2 = 56: x = 18 (steps and check) | WordGPT