WordGPT

Solve 4x + 6 = 78

The solution of 4x + 6 = 78 is x = 18.

Explain it step by step in chatMake a short video of it
The lines y = 4x + 6 and y = 78 meet at x = 18121416182022245060708090100x = 18y = 4x + 6y = 78
The lines y = 4x + 6 and y = 78 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+6=784x + 6 = 78
  2. 2

    Subtract 6 from both sides:

    4x+6−6=78−6 ⇒ 4x=724x + 6 - 6 = 78 - 6 \ \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+6=72+6=78✓4\cdot18 + 6 = 72 + 6 = 78 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 6 = 78\ \Rightarrow\ x = 18 \]
\[ 4x + 6 = 78 \]
\[ 4x + 6 - 6 = 78 - 6 \ \Rightarrow\ 4x = 72 \]
\[ \frac{4x}{4} = \frac{72}{4} \ \Rightarrow\ x = 18 \]
\[ 4\cdot18 + 6 = 72 + 6 = 78 \checkmark \]

Trying values of x in 4x + 6 = 78

x4x + 6Equals 78?
1670no
1774no
1878yes
1982no
2086no

Questions

What is x in 4x + 6 = 78?

The solution of 4x + 6 = 78 is x = 18.

How do you solve 4x + 6 = 78?

Subtract 6 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) + 6 = 78, which is 78.

Similar equations

    Solve 4x + 6 = 78: x = 18 (steps and check) | WordGPT