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Solve 7x + 8 = 85

The solution of 7x + 8 = 85 is x = 11.

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The lines y = 7x + 8 and y = 85 meet at x = 116810121416406080100120x = 11y = 7x + 8y = 85
The lines y = 7x + 8 and y = 85 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+8=857x + 8 = 85
  2. 2

    Subtract 8 from both sides:

    7x+8−8=85−8 ⇒ 7x=777x + 8 - 8 = 85 - 8 \ \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+8=77+8=85✓7\cdot11 + 8 = 77 + 8 = 85 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 8 = 85\ \Rightarrow\ x = 11 \]
\[ 7x + 8 = 85 \]
\[ 7x + 8 - 8 = 85 - 8 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 + 8 = 77 + 8 = 85 \checkmark \]

Trying values of x in 7x + 8 = 85

x7x + 8Equals 85?
971no
1078no
1185yes
1292no
1399no

Questions

What is x in 7x + 8 = 85?

The solution of 7x + 8 = 85 is x = 11.

How do you solve 7x + 8 = 85?

Subtract 8 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) + 8 = 85, which is 85.

Similar equations

    Solve 7x + 8 = 85: x = 11 (steps and check) | WordGPT