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Solve 3x + 4 = 52

The solution of 3x + 4 = 52 is x = 16.

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The lines y = 3x + 4 and y = 52 meet at x = 16101214161820223540455055606570x = 16y = 3x + 4y = 52
The lines y = 3x + 4 and y = 52 meet at x = 16. 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.

    3x+4=523x + 4 = 52
  2. 2

    Subtract 4 from both sides:

    3x+4−4=52−4 ⇒ 3x=483x + 4 - 4 = 52 - 4 \ \Rightarrow\ 3x = 48
  3. 3

    Divide both sides by 3:

    3x3=483 ⇒ x=16\frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    3⋅16+4=48+4=52✓3\cdot16 + 4 = 48 + 4 = 52 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 4 = 52\ \Rightarrow\ x = 16 \]
\[ 3x + 4 = 52 \]
\[ 3x + 4 - 4 = 52 - 4 \ \Rightarrow\ 3x = 48 \]
\[ \frac{3x}{3} = \frac{48}{3} \ \Rightarrow\ x = 16 \]
\[ 3\cdot16 + 4 = 48 + 4 = 52 \checkmark \]

Trying values of x in 3x + 4 = 52

x3x + 4Equals 52?
1446no
1549no
1652yes
1755no
1858no

Questions

What is x in 3x + 4 = 52?

The solution of 3x + 4 = 52 is x = 16.

How do you solve 3x + 4 = 52?

Subtract 4 from both sides to get 3x = 48, then divide both sides by 3 to get x = 16.

How do I check the answer?

Replace x by 16: 3(16) + 4 = 52, which is 52.

Similar equations

    Solve 3x + 4 = 52: x = 16 (steps and check) | WordGPT