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Solve 7x + 6 = 34

The solution of 7x + 6 = 34 is x = 4.

The lines y = 7x + 6 and y = 34 meet at x = 4-224681020406080x = 4y = 7x + 6y = 34
The lines y = 7x + 6 and y = 34 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+6=347x + 6 = 34
  2. 2

    Subtract 6 from both sides:

    7x+6−6=34−6 ⇒ 7x=287x + 6 - 6 = 34 - 6 \ \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+6=28+6=34✓7\cdot4 + 6 = 28 + 6 = 34 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 6 = 34\ \Rightarrow\ x = 4 \]
\[ 7x + 6 = 34 \]
\[ 7x + 6 - 6 = 34 - 6 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 + 6 = 28 + 6 = 34 \checkmark \]

Trying values of x in 7x + 6 = 34

x7x + 6Equals 34?
220no
327no
434yes
541no
648no

Questions

What is x in 7x + 6 = 34?

The solution of 7x + 6 = 34 is x = 4.

How do you solve 7x + 6 = 34?

Subtract 6 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) + 6 = 34, which is 34.

Similar equations

    Solve 7x + 6 = 34: x = 4 (steps and check) | WordGPT