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Solve 10x + 6 = 116

The solution of 10x + 6 = 116 is x = 11.

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The lines y = 10x + 6 and y = 116 meet at x = 1168101214166080100120140160180x = 11y = 10x + 6y = 116
The lines y = 10x + 6 and y = 116 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+6=11610x + 6 = 116
  2. 2

    Subtract 6 from both sides:

    10x+6−6=116−6 ⇒ 10x=11010x + 6 - 6 = 116 - 6 \ \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+6=110+6=116✓10\cdot11 + 6 = 110 + 6 = 116 \checkmark
LaTeX source of the formulas on this page
\[ 10x + 6 = 116\ \Rightarrow\ x = 11 \]
\[ 10x + 6 = 116 \]
\[ 10x + 6 - 6 = 116 - 6 \ \Rightarrow\ 10x = 110 \]
\[ \frac{10x}{10} = \frac{110}{10} \ \Rightarrow\ x = 11 \]
\[ 10\cdot11 + 6 = 110 + 6 = 116 \checkmark \]

Trying values of x in 10x + 6 = 116

x10x + 6Equals 116?
996no
10106no
11116yes
12126no
13136no

Questions

What is x in 10x + 6 = 116?

The solution of 10x + 6 = 116 is x = 11.

How do you solve 10x + 6 = 116?

Subtract 6 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) + 6 = 116, which is 116.

Similar equations

    Solve 10x + 6 = 116: x = 11 (steps and check) | WordGPT