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Solve 5x + 12 = 102

The solution of 5x + 12 = 102 is x = 18.

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The lines y = 5x + 12 and y = 102 meet at x = 1812141618202224708090100110120130x = 18y = 5x + 12y = 102
The lines y = 5x + 12 and y = 102 meet at x = 18. 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=1025x + 12 = 102
  2. 2

    Subtract 12 from both sides:

    5x+12−12=102−12 ⇒ 5x=905x + 12 - 12 = 102 - 12 \ \Rightarrow\ 5x = 90
  3. 3

    Divide both sides by 5:

    5x5=905 ⇒ x=18\frac{5x}{5} = \frac{90}{5} \ \Rightarrow\ x = 18
  4. 4

    Check: put x = 18 back into the equation.

    5⋅18+12=90+12=102✓5\cdot18 + 12 = 90 + 12 = 102 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 12 = 102\ \Rightarrow\ x = 18 \]
\[ 5x + 12 = 102 \]
\[ 5x + 12 - 12 = 102 - 12 \ \Rightarrow\ 5x = 90 \]
\[ \frac{5x}{5} = \frac{90}{5} \ \Rightarrow\ x = 18 \]
\[ 5\cdot18 + 12 = 90 + 12 = 102 \checkmark \]

Trying values of x in 5x + 12 = 102

x5x + 12Equals 102?
1692no
1797no
18102yes
19107no
20112no

Questions

What is x in 5x + 12 = 102?

The solution of 5x + 12 = 102 is x = 18.

How do you solve 5x + 12 = 102?

Subtract 12 from both sides to get 5x = 90, then divide both sides by 5 to get x = 18.

How do I check the answer?

Replace x by 18: 5(18) + 12 = 102, which is 102.

Similar equations

    Solve 5x + 12 = 102: x = 18 (steps and check) | WordGPT