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Solve 7x + 5 = 33

The solution of 7x + 5 = 33 is x = 4.

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The lines y = 7x + 5 and y = 33 meet at x = 4-224681020406080x = 4y = 7x + 5y = 33
The lines y = 7x + 5 and y = 33 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+5=337x + 5 = 33
  2. 2

    Subtract 5 from both sides:

    7x+5−5=33−5 ⇒ 7x=287x + 5 - 5 = 33 - 5 \ \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+5=28+5=33✓7\cdot4 + 5 = 28 + 5 = 33 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 5 = 33\ \Rightarrow\ x = 4 \]
\[ 7x + 5 = 33 \]
\[ 7x + 5 - 5 = 33 - 5 \ \Rightarrow\ 7x = 28 \]
\[ \frac{7x}{7} = \frac{28}{7} \ \Rightarrow\ x = 4 \]
\[ 7\cdot4 + 5 = 28 + 5 = 33 \checkmark \]

Trying values of x in 7x + 5 = 33

x7x + 5Equals 33?
219no
326no
433yes
540no
647no

Questions

What is x in 7x + 5 = 33?

The solution of 7x + 5 = 33 is x = 4.

How do you solve 7x + 5 = 33?

Subtract 5 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) + 5 = 33, which is 33.

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    Solve 7x + 5 = 33: x = 4 (steps and check) | WordGPT