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Solve 7x + 10 = 87

The solution of 7x + 10 = 87 is x = 11.

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The lines y = 7x + 10 and y = 87 meet at x = 116810121416406080100120x = 11y = 7x + 10y = 87
The lines y = 7x + 10 and y = 87 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+10=877x + 10 = 87
  2. 2

    Subtract 10 from both sides:

    7x+10−10=87−10 ⇒ 7x=777x + 10 - 10 = 87 - 10 \ \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+10=77+10=87✓7\cdot11 + 10 = 77 + 10 = 87 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 10 = 87\ \Rightarrow\ x = 11 \]
\[ 7x + 10 = 87 \]
\[ 7x + 10 - 10 = 87 - 10 \ \Rightarrow\ 7x = 77 \]
\[ \frac{7x}{7} = \frac{77}{7} \ \Rightarrow\ x = 11 \]
\[ 7\cdot11 + 10 = 77 + 10 = 87 \checkmark \]

Trying values of x in 7x + 10 = 87

x7x + 10Equals 87?
973no
1080no
1187yes
1294no
13101no

Questions

What is x in 7x + 10 = 87?

The solution of 7x + 10 = 87 is x = 11.

How do you solve 7x + 10 = 87?

Subtract 10 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) + 10 = 87, which is 87.

Similar equations

    Solve 7x + 10 = 87: x = 11 (steps and check) | WordGPT