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Solve 4x + 3 = 83

The solution of 4x + 3 = 83 is x = 20.

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The lines y = 4x + 3 and y = 83 meet at x = 201416182022242660708090100110x = 20y = 4x + 3y = 83
The lines y = 4x + 3 and y = 83 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.

    4x+3=834x + 3 = 83
  2. 2

    Subtract 3 from both sides:

    4x+3−3=83−3 ⇒ 4x=804x + 3 - 3 = 83 - 3 \ \Rightarrow\ 4x = 80
  3. 3

    Divide both sides by 4:

    4x4=804 ⇒ x=20\frac{4x}{4} = \frac{80}{4} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    4⋅20+3=80+3=83✓4\cdot20 + 3 = 80 + 3 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 3 = 83\ \Rightarrow\ x = 20 \]
\[ 4x + 3 = 83 \]
\[ 4x + 3 - 3 = 83 - 3 \ \Rightarrow\ 4x = 80 \]
\[ \frac{4x}{4} = \frac{80}{4} \ \Rightarrow\ x = 20 \]
\[ 4\cdot20 + 3 = 80 + 3 = 83 \checkmark \]

Trying values of x in 4x + 3 = 83

x4x + 3Equals 83?
1875no
1979no
2083yes
2187no
2291no

Questions

What is x in 4x + 3 = 83?

The solution of 4x + 3 = 83 is x = 20.

How do you solve 4x + 3 = 83?

Subtract 3 from both sides to get 4x = 80, then divide both sides by 4 to get x = 20.

How do I check the answer?

Replace x by 20: 4(20) + 3 = 83, which is 83.

Similar equations

    Solve 4x + 3 = 83: x = 20 (steps and check) | WordGPT