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Solve 10x + 10 = 120

The solution of 10x + 10 = 120 is x = 11.

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The lines y = 10x + 10 and y = 120 meet at x = 1168101214166080100120140160180x = 11y = 10x + 10y = 120
The lines y = 10x + 10 and y = 120 meet at x = 11. 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=12010x + 10 = 120
  2. 2

    Subtract 10 from both sides:

    10x+10−10=120−10 ⇒ 10x=11010x + 10 - 10 = 120 - 10 \ \Rightarrow\ 10x = 110
  3. 3

    Divide both sides by 10:

    10x10=11010 ⇒ x=11\frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11
  4. 4

    Check: put x = 11 back into the equation.

    10⋅11+10=110+10=120✓10\cdot11 + 10 = 110 + 10 = 120 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 10 = 120\ \Rightarrow\ x = 11 \]
\[ 10x + 10 = 120 \]
\[ 10x + 10 - 10 = 120 - 10 \ \Rightarrow\ 10x = 110 \]
\[ \frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11 \]
\[ 10\cdot11 + 10 = 110 + 10 = 120 \checkmark \]

Trying values of x in 10x + 10 = 120

x10x + 10Equals 120?
9100no
10110no
11120yes
12130no
13140no

Questions

What is x in 10x + 10 = 120?

The solution of 10x + 10 = 120 is x = 11.

How do you solve 10x + 10 = 120?

Subtract 10 from both sides to get 10x = 110, then divide both sides by 10 to get x = 11.

How do I check the answer?

Replace x by 11: 10(11) + 10 = 120, which is 120.

Similar equations

    Solve 10x + 10 = 120: x = 11 (steps and check) | WordGPT