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Solve 4x + 11 = 75

The solution of 4x + 11 = 75 is x = 16.

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The lines y = 4x + 11 and y = 75 meet at x = 16101214161820225060708090100x = 16y = 4x + 11y = 75
The lines y = 4x + 11 and y = 75 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.

    4x+11=754x + 11 = 75
  2. 2

    Subtract 11 from both sides:

    4x+11−11=75−11 ⇒ 4x=644x + 11 - 11 = 75 - 11 \ \Rightarrow\ 4x = 64
  3. 3

    Divide both sides by 4:

    4x4=644 ⇒ x=16\frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16
  4. 4

    Check: put x = 16 back into the equation.

    4⋅16+11=64+11=75✓4\cdot16 + 11 = 64 + 11 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 11 = 75\ \Rightarrow\ x = 16 \]
\[ 4x + 11 = 75 \]
\[ 4x + 11 - 11 = 75 - 11 \ \Rightarrow\ 4x = 64 \]
\[ \frac{4x}{4} = \frac{64}{4} \ \Rightarrow\ x = 16 \]
\[ 4\cdot16 + 11 = 64 + 11 = 75 \checkmark \]

Trying values of x in 4x + 11 = 75

x4x + 11Equals 75?
1467no
1571no
1675yes
1779no
1883no

Questions

What is x in 4x + 11 = 75?

The solution of 4x + 11 = 75 is x = 16.

How do you solve 4x + 11 = 75?

Subtract 11 from both sides to get 4x = 64, then divide both sides by 4 to get x = 16.

How do I check the answer?

Replace x by 16: 4(16) + 11 = 75, which is 75.

Similar equations

    Solve 4x + 11 = 75: x = 16 (steps and check) | WordGPT