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Solve 10x + 10 = 170

The solution of 10x + 10 = 170 is x = 16.

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The lines y = 10x + 10 and y = 170 meet at x = 1610121416182022100120140160180200220240x = 16y = 10x + 10y = 170
The lines y = 10x + 10 and y = 170 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+10=17010x + 10 = 170
  2. 2

    Subtract 10 from both sides:

    10x+10−10=170−10 ⇒ 10x=16010x + 10 - 10 = 170 - 10 \ \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+10=160+10=170✓10\cdot16 + 10 = 160 + 10 = 170 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 10 = 170\ \Rightarrow\ x = 16 \]
\[ 10x + 10 = 170 \]
\[ 10x + 10 - 10 = 170 - 10 \ \Rightarrow\ 10x = 160 \]
\[ \frac{10x}{10} = \frac{160}{10} \ \Rightarrow\ x = 16 \]
\[ 10\cdot16 + 10 = 160 + 10 = 170 \checkmark \]

Trying values of x in 10x + 10 = 170

x10x + 10Equals 170?
14150no
15160no
16170yes
17180no
18190no

Questions

What is x in 10x + 10 = 170?

The solution of 10x + 10 = 170 is x = 16.

How do you solve 10x + 10 = 170?

Subtract 10 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) + 10 = 170, which is 170.

Similar equations

    Solve 10x + 10 = 170: x = 16 (steps and check) | WordGPT