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Solve 5x + 3 = 103

The solution of 5x + 3 = 103 is x = 20.

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The lines y = 5x + 3 and y = 103 meet at x = 2014161820222426708090100110120130x = 20y = 5x + 3y = 103
The lines y = 5x + 3 and y = 103 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+3=1035x + 3 = 103
  2. 2

    Subtract 3 from both sides:

    5x+3−3=103−3 ⇒ 5x=1005x + 3 - 3 = 103 - 3 \ \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+3=100+3=103✓5\cdot20 + 3 = 100 + 3 = 103 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 3 = 103\ \Rightarrow\ x = 20 \]
\[ 5x + 3 = 103 \]
\[ 5x + 3 - 3 = 103 - 3 \ \Rightarrow\ 5x = 100 \]
\[ \frac{5x}{5} = \frac{100}{5} \ \Rightarrow\ x = 20 \]
\[ 5\cdot20 + 3 = 100 + 3 = 103 \checkmark \]

Trying values of x in 5x + 3 = 103

x5x + 3Equals 103?
1893no
1998no
20103yes
21108no
22113no

Questions

What is x in 5x + 3 = 103?

The solution of 5x + 3 = 103 is x = 20.

How do you solve 5x + 3 = 103?

Subtract 3 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) + 3 = 103, which is 103.

Similar equations

    Solve 5x + 3 = 103: x = 20 (steps and check) | WordGPT