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Solve 4x + 7 = 15

The solution of 4x + 7 = 15 is x = 2.

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The lines y = 4x + 7 and y = 15 meet at x = 2-4-22468-1010203040x = 2y = 4x + 7y = 15
The lines y = 4x + 7 and y = 15 meet at x = 2. 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+7=154x + 7 = 15
  2. 2

    Subtract 7 from both sides:

    4x+7−7=15−7 ⇒ 4x=84x + 7 - 7 = 15 - 7 \ \Rightarrow\ 4x = 8
  3. 3

    Divide both sides by 4:

    4x4=84 ⇒ x=2\frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2
  4. 4

    Check: put x = 2 back into the equation.

    4⋅2+7=8+7=15✓4\cdot2 + 7 = 8 + 7 = 15 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 7 = 15\ \Rightarrow\ x = 2 \]
\[ 4x + 7 = 15 \]
\[ 4x + 7 - 7 = 15 - 7 \ \Rightarrow\ 4x = 8 \]
\[ \frac{4x}{4} = \frac{8}{4} \ \Rightarrow\ x = 2 \]
\[ 4\cdot2 + 7 = 8 + 7 = 15 \checkmark \]

Trying values of x in 4x + 7 = 15

x4x + 7Equals 15?
07no
111no
215yes
319no
423no

Questions

What is x in 4x + 7 = 15?

The solution of 4x + 7 = 15 is x = 2.

How do you solve 4x + 7 = 15?

Subtract 7 from both sides to get 4x = 8, then divide both sides by 4 to get x = 2.

How do I check the answer?

Replace x by 2: 4(2) + 7 = 15, which is 15.

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    Solve 4x + 7 = 15: x = 2 (steps and check) | WordGPT