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Solve 7x + 10 = 17

The solution of 7x + 10 = 17 is x = 1.

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The lines y = 7x + 10 and y = 17 meet at x = 1-4-2246-20204060x = 1y = 7x + 10y = 17
The lines y = 7x + 10 and y = 17 meet at x = 1. 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=177x + 10 = 17
  2. 2

    Subtract 10 from both sides:

    7x+10−10=17−10 ⇒ 7x=77x + 10 - 10 = 17 - 10 \ \Rightarrow\ 7x = 7
  3. 3

    Divide both sides by 7:

    7x7=77 ⇒ x=1\frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    7⋅1+10=7+10=17✓7\cdot1 + 10 = 7 + 10 = 17 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 10 = 17\ \Rightarrow\ x = 1 \]
\[ 7x + 10 = 17 \]
\[ 7x + 10 - 10 = 17 - 10 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 + 10 = 7 + 10 = 17 \checkmark \]

Trying values of x in 7x + 10 = 17

x7x + 10Equals 17?
-13no
010no
117yes
224no
331no

Questions

What is x in 7x + 10 = 17?

The solution of 7x + 10 = 17 is x = 1.

How do you solve 7x + 10 = 17?

Subtract 10 from both sides to get 7x = 7, then divide both sides by 7 to get x = 1.

How do I check the answer?

Replace x by 1: 7(1) + 10 = 17, which is 17.

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    Solve 7x + 10 = 17: x = 1 (steps and check) | WordGPT