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Solve 7x + 14 = 42

The solution of 7x + 14 = 42 is x = 4.

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The lines y = 7x + 14 and y = 42 meet at x = 4-224681020406080x = 4y = 7x + 14y = 42
The lines y = 7x + 14 and y = 42 meet at x = 4. 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.

    7x+14=427x + 14 = 42
  2. 2

    Subtract 14 from both sides:

    7x+14−14=42−14 ⇒ 7x=287x + 14 - 14 = 42 - 14 \ \Rightarrow\ 7x = 28
  3. 3

    Divide both sides by 7:

    7x7=287 ⇒ x=4\frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4
  4. 4

    Check: put x = 4 back into the equation.

    7⋅4+14=28+14=42✓7\cdot4 + 14 = 28 + 14 = 42 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 14 = 42\ \Rightarrow\ x = 4 \]
\[ 7x + 14 = 42 \]
\[ 7x + 14 - 14 = 42 - 14 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 + 14 = 28 + 14 = 42 \checkmark \]

Trying values of x in 7x + 14 = 42

x7x + 14Equals 42?
228no
335no
442yes
549no
656no

Questions

What is x in 7x + 14 = 42?

The solution of 7x + 14 = 42 is x = 4.

How do you solve 7x + 14 = 42?

Subtract 14 from both sides to get 7x = 28, then divide both sides by 7 to get x = 4.

How do I check the answer?

Replace x by 4: 7(4) + 14 = 42, which is 42.

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    Solve 7x + 14 = 42: x = 4 (steps and check) | WordGPT