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Solve 3x + 7 = 10

The solution of 3x + 7 = 10 is x = 1.

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The lines y = 3x + 7 and y = 10 meet at x = 1-4-2246-10-551015202530x = 1y = 3x + 7y = 10
The lines y = 3x + 7 and y = 10 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.

    3x+7=103x + 7 = 10
  2. 2

    Subtract 7 from both sides:

    3x+7−7=10−7 ⇒ 3x=33x + 7 - 7 = 10 - 7 \ \Rightarrow\ 3x = 3
  3. 3

    Divide both sides by 3:

    3x3=33 ⇒ x=1\frac{3x}{3} = \frac{3}{3} \ \Rightarrow\ x = 1
  4. 4

    Check: put x = 1 back into the equation.

    3⋅1+7=3+7=10✓3\cdot1 + 7 = 3 + 7 = 10 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 10\ \Rightarrow\ x = 1 \]
\[ 3x + 7 = 10 \]
\[ 3x + 7 - 7 = 10 - 7 \ \Rightarrow\ 3x = 3 \]
\[ \frac{3x}{3} = \frac{3}{3} \ \Rightarrow\ x = 1 \]
\[ 3\cdot1 + 7 = 3 + 7 = 10 \checkmark \]

Trying values of x in 3x + 7 = 10

x3x + 7Equals 10?
-14no
07no
110yes
213no
316no

Questions

What is x in 3x + 7 = 10?

The solution of 3x + 7 = 10 is x = 1.

How do you solve 3x + 7 = 10?

Subtract 7 from both sides to get 3x = 3, then divide both sides by 3 to get x = 1.

How do I check the answer?

Replace x by 1: 3(1) + 7 = 10, which is 10.

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