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Solve 10x + 10 = 100

The solution of 10x + 10 = 100 is x = 9.

The lines y = 10x + 10 and y = 100 meet at x = 9468101214406080100120140160x = 9y = 10x + 10y = 100
The lines y = 10x + 10 and y = 100 meet at x = 9. 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=10010x + 10 = 100
  2. 2

    Subtract 10 from both sides:

    10x+10−10=100−10 ⇒ 10x=9010x + 10 - 10 = 100 - 10 \ \Rightarrow\ 10x = 90
  3. 3

    Divide both sides by 10:

    10x10=9010 ⇒ x=9\frac{10x}{10} = \frac{90}{10} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    10⋅9+10=90+10=100✓10\cdot9 + 10 = 90 + 10 = 100 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 10 = 100\ \Rightarrow\ x = 9 \]
\[ 10x + 10 = 100 \]
\[ 10x + 10 - 10 = 100 - 10 \ \Rightarrow\ 10x = 90 \]
\[ \frac{10x}{10} = \frac{90}{10} \ \Rightarrow\ x = 9 \]
\[ 10\cdot9 + 10 = 90 + 10 = 100 \checkmark \]

Trying values of x in 10x + 10 = 100

x10x + 10Equals 100?
780no
890no
9100yes
10110no
11120no

Questions

What is x in 10x + 10 = 100?

The solution of 10x + 10 = 100 is x = 9.

How do you solve 10x + 10 = 100?

Subtract 10 from both sides to get 10x = 90, then divide both sides by 10 to get x = 9.

How do I check the answer?

Replace x by 9: 10(9) + 10 = 100, which is 100.

Similar equations

    Solve 10x + 10 = 100: x = 9 (steps and check) | WordGPT