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Solve 7x + 12 = 89

The solution of 7x + 12 = 89 is x = 11.

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The lines y = 7x + 12 and y = 89 meet at x = 116810121416406080100120x = 11y = 7x + 12y = 89
The lines y = 7x + 12 and y = 89 meet at x = 11. 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+12=897x + 12 = 89
  2. 2

    Subtract 12 from both sides:

    7x+12−12=89−12 ⇒ 7x=777x + 12 - 12 = 89 - 12 \ \Rightarrow\ 7x = 77
  3. 3

    Divide both sides by 7:

    7x7=777 ⇒ x=11\frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    7⋅11+12=77+12=89✓7\cdot11 + 12 = 77 + 12 = 89 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 12 = 89\ \Rightarrow\ x = 11 \]
\[ 7x + 12 = 89 \]
\[ 7x + 12 - 12 = 89 - 12 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 + 12 = 77 + 12 = 89 \checkmark \]

Trying values of x in 7x + 12 = 89

x7x + 12Equals 89?
975no
1082no
1189yes
1296no
13103no

Questions

What is x in 7x + 12 = 89?

The solution of 7x + 12 = 89 is x = 11.

How do you solve 7x + 12 = 89?

Subtract 12 from both sides to get 7x = 77, then divide both sides by 7 to get x = 11.

How do I check the answer?

Replace x by 11: 7(11) + 12 = 89, which is 89.

Similar equations

    Solve 7x + 12 = 89: x = 11 (steps and check) | WordGPT