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Solve 4x + 15 = 83

The solution of 4x + 15 = 83 is x = 17.

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The lines y = 4x + 15 and y = 83 meet at x = 1712141618202260708090100110x = 17y = 4x + 15y = 83
The lines y = 4x + 15 and y = 83 meet at x = 17. 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+15=834x + 15 = 83
  2. 2

    Subtract 15 from both sides:

    4x+15−15=83−15 ⇒ 4x=684x + 15 - 15 = 83 - 15 \ \Rightarrow\ 4x = 68
  3. 3

    Divide both sides by 4:

    4x4=684 ⇒ x=17\frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17
  4. 4

    Check: put x = 17 back into the equation.

    4⋅17+15=68+15=83✓4\cdot17 + 15 = 68 + 15 = 83 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 15 = 83\ \Rightarrow\ x = 17 \]
\[ 4x + 15 = 83 \]
\[ 4x + 15 - 15 = 83 - 15 \ \Rightarrow\ 4x = 68 \]
\[ \frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17 \]
\[ 4\cdot17 + 15 = 68 + 15 = 83 \checkmark \]

Trying values of x in 4x + 15 = 83

x4x + 15Equals 83?
1575no
1679no
1783yes
1887no
1991no

Questions

What is x in 4x + 15 = 83?

The solution of 4x + 15 = 83 is x = 17.

How do you solve 4x + 15 = 83?

Subtract 15 from both sides to get 4x = 68, then divide both sides by 4 to get x = 17.

How do I check the answer?

Replace x by 17: 4(17) + 15 = 83, which is 83.

Similar equations

    Solve 4x + 15 = 83: x = 17 (steps and check) | WordGPT