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Solve 5x + 12 = 112

The solution of 5x + 12 = 112 is x = 20.

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The lines y = 5x + 12 and y = 112 meet at x = 20141618202224268090100110120130140x = 20y = 5x + 12y = 112
The lines y = 5x + 12 and y = 112 meet at x = 20. 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.

    5x+12=1125x + 12 = 112
  2. 2

    Subtract 12 from both sides:

    5x+12−12=112−12 ⇒ 5x=1005x + 12 - 12 = 112 - 12 \ \Rightarrow\ 5x = 100
  3. 3

    Divide both sides by 5:

    5x5=1005 ⇒ x=20\frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    5⋅20+12=100+12=112✓5\cdot20 + 12 = 100 + 12 = 112 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 12 = 112\ \Rightarrow\ x = 20 \]
\[ 5x + 12 = 112 \]
\[ 5x + 12 - 12 = 112 - 12 \ \Rightarrow\ 5x = 100 \]
\[ \frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20 \]
\[ 5\cdot20 + 12 = 100 + 12 = 112 \checkmark \]

Trying values of x in 5x + 12 = 112

x5x + 12Equals 112?
18102no
19107no
20112yes
21117no
22122no

Questions

What is x in 5x + 12 = 112?

The solution of 5x + 12 = 112 is x = 20.

How do you solve 5x + 12 = 112?

Subtract 12 from both sides to get 5x = 100, then divide both sides by 5 to get x = 20.

How do I check the answer?

Replace x by 20: 5(20) + 12 = 112, which is 112.

Similar equations

    Solve 5x + 12 = 112: x = 20 (steps and check) | WordGPT