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Solve 8x + 3 = 75

The solution of 8x + 3 = 75 is x = 9.

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The lines y = 8x + 3 and y = 75 meet at x = 946810121420406080100120x = 9y = 8x + 3y = 75
The lines y = 8x + 3 and y = 75 meet at x = 9. 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.

    8x+3=758x + 3 = 75
  2. 2

    Subtract 3 from both sides:

    8x+3−3=75−3 ⇒ 8x=728x + 3 - 3 = 75 - 3 \ \Rightarrow\ 8x = 72
  3. 3

    Divide both sides by 8:

    8x8=728 ⇒ x=9\frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    8⋅9+3=72+3=75✓8\cdot9 + 3 = 72 + 3 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 8x + 3 = 75\ \Rightarrow\ x = 9 \]
\[ 8x + 3 = 75 \]
\[ 8x + 3 - 3 = 75 - 3 \ \Rightarrow\ 8x = 72 \]
\[ \frac{8x}{8} = \frac{72}{8} \ \Rightarrow\ x = 9 \]
\[ 8\cdot9 + 3 = 72 + 3 = 75 \checkmark \]

Trying values of x in 8x + 3 = 75

x8x + 3Equals 75?
759no
867no
975yes
1083no
1191no

Questions

What is x in 8x + 3 = 75?

The solution of 8x + 3 = 75 is x = 9.

How do you solve 8x + 3 = 75?

Subtract 3 from both sides to get 8x = 72, then divide both sides by 8 to get x = 9.

How do I check the answer?

Replace x by 9: 8(9) + 3 = 75, which is 75.

Similar equations

    Solve 8x + 3 = 75: x = 9 (steps and check) | WordGPT