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Solve 5x + 3 = 78

The solution of 5x + 3 = 78 is x = 15.

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The lines y = 5x + 3 and y = 78 meet at x = 151012141618205060708090100110x = 15y = 5x + 3y = 78
The lines y = 5x + 3 and y = 78 meet at x = 15. 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=785x + 3 = 78
  2. 2

    Subtract 3 from both sides:

    5x+3−3=78−3 ⇒ 5x=755x + 3 - 3 = 78 - 3 \ \Rightarrow\ 5x = 75
  3. 3

    Divide both sides by 5:

    5x5=755 ⇒ x=15\frac{5x}{5} = \frac{75}{5} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    5⋅15+3=75+3=78✓5\cdot15 + 3 = 75 + 3 = 78 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 3 = 78\ \Rightarrow\ x = 15 \]
\[ 5x + 3 = 78 \]
\[ 5x + 3 - 3 = 78 - 3 \ \Rightarrow\ 5x = 75 \]
\[ \frac{5x}{5} = \frac{75}{5} \ \Rightarrow\ x = 15 \]
\[ 5\cdot15 + 3 = 75 + 3 = 78 \checkmark \]

Trying values of x in 5x + 3 = 78

x5x + 3Equals 78?
1368no
1473no
1578yes
1683no
1788no

Questions

What is x in 5x + 3 = 78?

The solution of 5x + 3 = 78 is x = 15.

How do you solve 5x + 3 = 78?

Subtract 3 from both sides to get 5x = 75, then divide both sides by 5 to get x = 15.

How do I check the answer?

Replace x by 15: 5(15) + 3 = 78, which is 78.

Similar equations

    Solve 5x + 3 = 78: x = 15 (steps and check) | WordGPT