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Solve 10x + 7 = 67

The solution of 10x + 7 = 67 is x = 6.

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The lines y = 10x + 7 and y = 67 meet at x = 62468101220406080100120x = 6y = 10x + 7y = 67
The lines y = 10x + 7 and y = 67 meet at x = 6. 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.

    10x+7=6710x + 7 = 67
  2. 2

    Subtract 7 from both sides:

    10x+7−7=67−7 ⇒ 10x=6010x + 7 - 7 = 67 - 7 \ \Rightarrow\ 10x = 60
  3. 3

    Divide both sides by 10:

    10x10=6010 ⇒ x=6\frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6
  4. 4

    Check: put x = 6 back into the equation.

    10⋅6+7=60+7=67✓10\cdot6 + 7 = 60 + 7 = 67 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 7 = 67\ \Rightarrow\ x = 6 \]
\[ 10x + 7 = 67 \]
\[ 10x + 7 - 7 = 67 - 7 \ \Rightarrow\ 10x = 60 \]
\[ \frac{10x}{10} = \frac{60}{10} \ \Rightarrow\ x = 6 \]
\[ 10\cdot6 + 7 = 60 + 7 = 67 \checkmark \]

Trying values of x in 10x + 7 = 67

x10x + 7Equals 67?
447no
557no
667yes
777no
887no

Questions

What is x in 10x + 7 = 67?

The solution of 10x + 7 = 67 is x = 6.

How do you solve 10x + 7 = 67?

Subtract 7 from both sides to get 10x = 60, then divide both sides by 10 to get x = 6.

How do I check the answer?

Replace x by 6: 10(6) + 7 = 67, which is 67.

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    Solve 10x + 7 = 67: x = 6 (steps and check) | WordGPT