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Solve 6x + 10 = 112

The solution of 6x + 10 = 112 is x = 17.

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The lines y = 6x + 10 and y = 112 meet at x = 17121416182022708090100110120130140150x = 17y = 6x + 10y = 112
The lines y = 6x + 10 and y = 112 meet at x = 17. 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.

    6x+10=1126x + 10 = 112
  2. 2

    Subtract 10 from both sides:

    6x+10−10=112−10 ⇒ 6x=1026x + 10 - 10 = 112 - 10 \ \Rightarrow\ 6x = 102
  3. 3

    Divide both sides by 6:

    6x6=1026 ⇒ x=17\frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    6⋅17+10=102+10=112✓6\cdot17 + 10 = 102 + 10 = 112 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 10 = 112\ \Rightarrow\ x = 17 \]
\[ 6x + 10 = 112 \]
\[ 6x + 10 - 10 = 112 - 10 \ \Rightarrow\ 6x = 102 \]
\[ \frac{6x}{6} = \frac{102}{6} \ \Rightarrow\ x = 17 \]
\[ 6\cdot17 + 10 = 102 + 10 = 112 \checkmark \]

Trying values of x in 6x + 10 = 112

x6x + 10Equals 112?
15100no
16106no
17112yes
18118no
19124no

Questions

What is x in 6x + 10 = 112?

The solution of 6x + 10 = 112 is x = 17.

How do you solve 6x + 10 = 112?

Subtract 10 from both sides to get 6x = 102, then divide both sides by 6 to get x = 17.

How do I check the answer?

Replace x by 17: 6(17) + 10 = 112, which is 112.

Similar equations

    Solve 6x + 10 = 112: x = 17 (steps and check) | WordGPT