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Solve 10x + 8 = 118

The solution of 10x + 8 = 118 is x = 11.

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The lines y = 10x + 8 and y = 118 meet at x = 1168101214166080100120140160180x = 11y = 10x + 8y = 118
The lines y = 10x + 8 and y = 118 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+8=11810x + 8 = 118
  2. 2

    Subtract 8 from both sides:

    10x+8−8=118−8 ⇒ 10x=11010x + 8 - 8 = 118 - 8 \ \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+8=110+8=118✓10\cdot11 + 8 = 110 + 8 = 118 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 8 = 118\ \Rightarrow\ x = 11 \]
\[ 10x + 8 = 118 \]
\[ 10x + 8 - 8 = 118 - 8 \ \Rightarrow\ 10x = 110 \]
\[ \frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11 \]
\[ 10\cdot11 + 8 = 110 + 8 = 118 \checkmark \]

Trying values of x in 10x + 8 = 118

x10x + 8Equals 118?
998no
10108no
11118yes
12128no
13138no

Questions

What is x in 10x + 8 = 118?

The solution of 10x + 8 = 118 is x = 11.

How do you solve 10x + 8 = 118?

Subtract 8 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) + 8 = 118, which is 118.

Similar equations

    Solve 10x + 8 = 118: x = 11 (steps and check) | WordGPT