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Solve 7x + 3 = 10

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

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The lines y = 7x + 3 and y = 10 meet at x = 1-4-2246-40-20204060x = 1y = 7x + 3y = 10
The lines y = 7x + 3 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.

    7x+3=107x + 3 = 10
  2. 2

    Subtract 3 from both sides:

    7x+3−3=10−3 ⇒ 7x=77x + 3 - 3 = 10 - 3 \ \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+3=7+3=10✓7\cdot1 + 3 = 7 + 3 = 10 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 3 = 10\ \Rightarrow\ x = 1 \]
\[ 7x + 3 = 10 \]
\[ 7x + 3 - 3 = 10 - 3 \ \Rightarrow\ 7x = 7 \]
\[ \frac{7x}{7} = \frac{7}{7} \ \Rightarrow\ x = 1 \]
\[ 7\cdot1 + 3 = 7 + 3 = 10 \checkmark \]

Trying values of x in 7x + 3 = 10

x7x + 3Equals 10?
-1-4no
03no
110yes
217no
324no

Questions

What is x in 7x + 3 = 10?

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

How do you solve 7x + 3 = 10?

Subtract 3 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) + 3 = 10, which is 10.

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    Solve 7x + 3 = 10: x = 1 (steps and check) | WordGPT