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Solve 10x + 10 = 90

The solution of 10x + 10 = 90 is x = 8.

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The lines y = 10x + 10 and y = 90 meet at x = 8246810121420406080100120140160x = 8y = 10x + 10y = 90
The lines y = 10x + 10 and y = 90 meet at x = 8. 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=9010x + 10 = 90
  2. 2

    Subtract 10 from both sides:

    10x+10−10=90−10 ⇒ 10x=8010x + 10 - 10 = 90 - 10 \ \Rightarrow\ 10x = 80
  3. 3

    Divide both sides by 10:

    10x10=8010 ⇒ x=8\frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    10⋅8+10=80+10=90✓10\cdot8 + 10 = 80 + 10 = 90 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 10 = 90\ \Rightarrow\ x = 8 \]
\[ 10x + 10 = 90 \]
\[ 10x + 10 - 10 = 90 - 10 \ \Rightarrow\ 10x = 80 \]
\[ \frac{10x}{10} = \frac{80}{10} \ \Rightarrow\ x = 8 \]
\[ 10\cdot8 + 10 = 80 + 10 = 90 \checkmark \]

Trying values of x in 10x + 10 = 90

x10x + 10Equals 90?
670no
780no
890yes
9100no
10110no

Questions

What is x in 10x + 10 = 90?

The solution of 10x + 10 = 90 is x = 8.

How do you solve 10x + 10 = 90?

Subtract 10 from both sides to get 10x = 80, then divide both sides by 10 to get x = 8.

How do I check the answer?

Replace x by 8: 10(8) + 10 = 90, which is 90.

Similar equations

    Solve 10x + 10 = 90: x = 8 (steps and check) | WordGPT