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Solve 3x + 5 = 26

The solution of 3x + 5 = 26 is x = 7.

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The lines y = 3x + 5 and y = 26 meet at x = 72468101251015202530354045x = 7y = 3x + 5y = 26
The lines y = 3x + 5 and y = 26 meet at x = 7. 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.

    3x+5=263x + 5 = 26
  2. 2

    Subtract 5 from both sides:

    3x+5−5=26−5 ⇒ 3x=213x + 5 - 5 = 26 - 5 \ \Rightarrow\ 3x = 21
  3. 3

    Divide both sides by 3:

    3x3=213 ⇒ x=7\frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7
  4. 4

    Check: put x = 7 back into the equation.

    3⋅7+5=21+5=26✓3\cdot7 + 5 = 21 + 5 = 26 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 5 = 26\ \Rightarrow\ x = 7 \]
\[ 3x + 5 = 26 \]
\[ 3x + 5 - 5 = 26 - 5 \ \Rightarrow\ 3x = 21 \]
\[ \frac{3x}{3} = \frac{21}{3} \ \Rightarrow\ x = 7 \]
\[ 3\cdot7 + 5 = 21 + 5 = 26 \checkmark \]

Trying values of x in 3x + 5 = 26

x3x + 5Equals 26?
520no
623no
726yes
829no
932no

Questions

What is x in 3x + 5 = 26?

The solution of 3x + 5 = 26 is x = 7.

How do you solve 3x + 5 = 26?

Subtract 5 from both sides to get 3x = 21, then divide both sides by 3 to get x = 7.

How do I check the answer?

Replace x by 7: 3(7) + 5 = 26, which is 26.

Similar equations

    Solve 3x + 5 = 26: x = 7 (steps and check) | WordGPT