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Solve 4x + 2 = 74

The solution of 4x + 2 = 74 is x = 18.

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The lines y = 4x + 2 and y = 74 meet at x = 18121416182022245060708090100x = 18y = 4x + 2y = 74
The lines y = 4x + 2 and y = 74 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.

    4x+2=744x + 2 = 74
  2. 2

    Subtract 2 from both sides:

    4x+2−2=74−2 ⇒ 4x=724x + 2 - 2 = 74 - 2 \ \Rightarrow\ 4x = 72
  3. 3

    Divide both sides by 4:

    4x4=724 ⇒ x=18\frac{4x}{4} = \frac{72}{4} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    4⋅18+2=72+2=74✓4\cdot18 + 2 = 72 + 2 = 74 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 2 = 74\ \Rightarrow\ x = 18 \]
\[ 4x + 2 = 74 \]
\[ 4x + 2 - 2 = 74 - 2 \ \Rightarrow\ 4x = 72 \]
\[ \frac{4x}{4} = \frac{72}{4} \ \Rightarrow\ x = 18 \]
\[ 4\cdot18 + 2 = 72 + 2 = 74 \checkmark \]

Trying values of x in 4x + 2 = 74

x4x + 2Equals 74?
1666no
1770no
1874yes
1978no
2082no

Questions

What is x in 4x + 2 = 74?

The solution of 4x + 2 = 74 is x = 18.

How do you solve 4x + 2 = 74?

Subtract 2 from both sides to get 4x = 72, then divide both sides by 4 to get x = 18.

How do I check the answer?

Replace x by 18: 4(18) + 2 = 74, which is 74.

Similar equations

    Solve 4x + 2 = 74: x = 18 (steps and check) | WordGPT