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Solve 7x + 5 = 89

The solution of 7x + 5 = 89 is x = 12.

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The lines y = 7x + 5 and y = 89 meet at x = 12681012141618406080100120x = 12y = 7x + 5y = 89
The lines y = 7x + 5 and y = 89 meet at x = 12. 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=897x + 5 = 89
  2. 2

    Subtract 5 from both sides:

    7x+5−5=89−5 ⇒ 7x=847x + 5 - 5 = 89 - 5 \ \Rightarrow\ 7x = 84
  3. 3

    Divide both sides by 7:

    7x7=847 ⇒ x=12\frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    7⋅12+5=84+5=89✓7\cdot12 + 5 = 84 + 5 = 89 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 5 = 89\ \Rightarrow\ x = 12 \]
\[ 7x + 5 = 89 \]
\[ 7x + 5 - 5 = 89 - 5 \ \Rightarrow\ 7x = 84 \]
\[ \frac{7x}{7} = \frac{84}{7} \ \Rightarrow\ x = 12 \]
\[ 7\cdot12 + 5 = 84 + 5 = 89 \checkmark \]

Trying values of x in 7x + 5 = 89

x7x + 5Equals 89?
1075no
1182no
1289yes
1396no
14103no

Questions

What is x in 7x + 5 = 89?

The solution of 7x + 5 = 89 is x = 12.

How do you solve 7x + 5 = 89?

Subtract 5 from both sides to get 7x = 84, then divide both sides by 7 to get x = 12.

How do I check the answer?

Replace x by 12: 7(12) + 5 = 89, which is 89.

Similar equations

    Solve 7x + 5 = 89: x = 12 (steps and check) | WordGPT