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Solve 10x + 7 = 167

The solution of 10x + 7 = 167 is x = 16.

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The lines y = 10x + 7 and y = 167 meet at x = 1610121416182022100120140160180200220x = 16y = 10x + 7y = 167
The lines y = 10x + 7 and y = 167 meet at x = 16. 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=16710x + 7 = 167
  2. 2

    Subtract 7 from both sides:

    10x+7−7=167−7 ⇒ 10x=16010x + 7 - 7 = 167 - 7 \ \Rightarrow\ 10x = 160
  3. 3

    Divide both sides by 10:

    10x10=16010 ⇒ x=16\frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    10⋅16+7=160+7=167✓10\cdot16 + 7 = 160 + 7 = 167 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 7 = 167\ \Rightarrow\ x = 16 \]
\[ 10x + 7 = 167 \]
\[ 10x + 7 - 7 = 167 - 7 \ \Rightarrow\ 10x = 160 \]
\[ \frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16 \]
\[ 10\cdot16 + 7 = 160 + 7 = 167 \checkmark \]

Trying values of x in 10x + 7 = 167

x10x + 7Equals 167?
14147no
15157no
16167yes
17177no
18187no

Questions

What is x in 10x + 7 = 167?

The solution of 10x + 7 = 167 is x = 16.

How do you solve 10x + 7 = 167?

Subtract 7 from both sides to get 10x = 160, then divide both sides by 10 to get x = 16.

How do I check the answer?

Replace x by 16: 10(16) + 7 = 167, which is 167.

Similar equations

    Solve 10x + 7 = 167: x = 16 (steps and check) | WordGPT