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Solve 5x + 3 = 48

The solution of 5x + 3 = 48 is x = 9.

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The lines y = 5x + 3 and y = 48 meet at x = 946810121420304050607080x = 9y = 5x + 3y = 48
The lines y = 5x + 3 and y = 48 meet at x = 9. 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+3=485x + 3 = 48
  2. 2

    Subtract 3 from both sides:

    5x+3−3=48−3 ⇒ 5x=455x + 3 - 3 = 48 - 3 \ \Rightarrow\ 5x = 45
  3. 3

    Divide both sides by 5:

    5x5=455 ⇒ x=9\frac{5x}{5} = \frac{45}{5} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    5⋅9+3=45+3=48✓5\cdot9 + 3 = 45 + 3 = 48 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 3 = 48\ \Rightarrow\ x = 9 \]
\[ 5x + 3 = 48 \]
\[ 5x + 3 - 3 = 48 - 3 \ \Rightarrow\ 5x = 45 \]
\[ \frac{5x}{5} = \frac{45}{5} \ \Rightarrow\ x = 9 \]
\[ 5\cdot9 + 3 = 45 + 3 = 48 \checkmark \]

Trying values of x in 5x + 3 = 48

x5x + 3Equals 48?
738no
843no
948yes
1053no
1158no

Questions

What is x in 5x + 3 = 48?

The solution of 5x + 3 = 48 is x = 9.

How do you solve 5x + 3 = 48?

Subtract 3 from both sides to get 5x = 45, then divide both sides by 5 to get x = 9.

How do I check the answer?

Replace x by 9: 5(9) + 3 = 48, which is 48.

Similar equations

    Solve 5x + 3 = 48: x = 9 (steps and check) | WordGPT