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Solve 5x + 2 = 102

The solution of 5x + 2 = 102 is x = 20.

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The lines y = 5x + 2 and y = 102 meet at x = 2014161820222426708090100110120130x = 20y = 5x + 2y = 102
The lines y = 5x + 2 and y = 102 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+2=1025x + 2 = 102
  2. 2

    Subtract 2 from both sides:

    5x+2−2=102−2 ⇒ 5x=1005x + 2 - 2 = 102 - 2 \ \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+2=100+2=102✓5\cdot20 + 2 = 100 + 2 = 102 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 2 = 102\ \Rightarrow\ x = 20 \]
\[ 5x + 2 = 102 \]
\[ 5x + 2 - 2 = 102 - 2 \ \Rightarrow\ 5x = 100 \]
\[ \frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20 \]
\[ 5\cdot20 + 2 = 100 + 2 = 102 \checkmark \]

Trying values of x in 5x + 2 = 102

x5x + 2Equals 102?
1892no
1997no
20102yes
21107no
22112no

Questions

What is x in 5x + 2 = 102?

The solution of 5x + 2 = 102 is x = 20.

How do you solve 5x + 2 = 102?

Subtract 2 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) + 2 = 102, which is 102.

Similar equations

    Solve 5x + 2 = 102: x = 20 (steps and check) | WordGPT