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Solve 10x + 7 = 177

The solution of 10x + 7 = 177 is x = 17.

The lines y = 10x + 7 and y = 177 meet at x = 17121416182022120140160180200220240x = 17y = 10x + 7y = 177
The lines y = 10x + 7 and y = 177 meet at x = 17. 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=17710x + 7 = 177
  2. 2

    Subtract 7 from both sides:

    10x+7−7=177−7 ⇒ 10x=17010x + 7 - 7 = 177 - 7 \ \Rightarrow\ 10x = 170
  3. 3

    Divide both sides by 10:

    10x10=17010 ⇒ x=17\frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    10⋅17+7=170+7=177✓10\cdot17 + 7 = 170 + 7 = 177 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 7 = 177\ \Rightarrow\ x = 17 \]
\[ 10x + 7 = 177 \]
\[ 10x + 7 - 7 = 177 - 7 \ \Rightarrow\ 10x = 170 \]
\[ \frac{10x}{10} = \frac{170}{10} \ \Rightarrow\ x = 17 \]
\[ 10\cdot17 + 7 = 170 + 7 = 177 \checkmark \]

Trying values of x in 10x + 7 = 177

x10x + 7Equals 177?
15157no
16167no
17177yes
18187no
19197no

Questions

What is x in 10x + 7 = 177?

The solution of 10x + 7 = 177 is x = 17.

How do you solve 10x + 7 = 177?

Subtract 7 from both sides to get 10x = 170, then divide both sides by 10 to get x = 17.

How do I check the answer?

Replace x by 17: 10(17) + 7 = 177, which is 177.

Similar equations

    Solve 10x + 7 = 177: x = 17 (steps and check) | WordGPT