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Solve 4x + 3 = 71

The solution of 4x + 3 = 71 is x = 17.

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The lines y = 4x + 3 and y = 71 meet at x = 171214161820225060708090100x = 17y = 4x + 3y = 71
The lines y = 4x + 3 and y = 71 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+3=714x + 3 = 71
  2. 2

    Subtract 3 from both sides:

    4x+3−3=71−3 ⇒ 4x=684x + 3 - 3 = 71 - 3 \ \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+3=68+3=71✓4\cdot17 + 3 = 68 + 3 = 71 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 3 = 71\ \Rightarrow\ x = 17 \]
\[ 4x + 3 = 71 \]
\[ 4x + 3 - 3 = 71 - 3 \ \Rightarrow\ 4x = 68 \]
\[ \frac{4x}{4} = \frac{68}{4} \ \Rightarrow\ x = 17 \]
\[ 4\cdot17 + 3 = 68 + 3 = 71 \checkmark \]

Trying values of x in 4x + 3 = 71

x4x + 3Equals 71?
1563no
1667no
1771yes
1875no
1979no

Questions

What is x in 4x + 3 = 71?

The solution of 4x + 3 = 71 is x = 17.

How do you solve 4x + 3 = 71?

Subtract 3 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) + 3 = 71, which is 71.

Similar equations

    Solve 4x + 3 = 71: x = 17 (steps and check) | WordGPT