WordGPT

Solve 6x + 3 = 75

The solution of 6x + 3 = 75 is x = 12.

Explain it step by step in chatMake a short video of it
The lines y = 6x + 3 and y = 75 meet at x = 12681012141618405060708090100110x = 12y = 6x + 3y = 75
The lines y = 6x + 3 and y = 75 meet at x = 12. 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.

    6x+3=756x + 3 = 75
  2. 2

    Subtract 3 from both sides:

    6x+3−3=75−3 ⇒ 6x=726x + 3 - 3 = 75 - 3 \ \Rightarrow\ 6x = 72
  3. 3

    Divide both sides by 6:

    6x6=726 ⇒ x=12\frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12
  4. 4

    Check: put x = 12 back into the equation.

    6⋅12+3=72+3=75✓6\cdot12 + 3 = 72 + 3 = 75 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 3 = 75\ \Rightarrow\ x = 12 \]
\[ 6x + 3 = 75 \]
\[ 6x + 3 - 3 = 75 - 3 \ \Rightarrow\ 6x = 72 \]
\[ \frac{6x}{6} = \frac{72}{6} \ \Rightarrow\ x = 12 \]
\[ 6\cdot12 + 3 = 72 + 3 = 75 \checkmark \]

Trying values of x in 6x + 3 = 75

x6x + 3Equals 75?
1063no
1169no
1275yes
1381no
1487no

Questions

What is x in 6x + 3 = 75?

The solution of 6x + 3 = 75 is x = 12.

How do you solve 6x + 3 = 75?

Subtract 3 from both sides to get 6x = 72, then divide both sides by 6 to get x = 12.

How do I check the answer?

Replace x by 12: 6(12) + 3 = 75, which is 75.

Similar equations

    Solve 6x + 3 = 75: x = 12 (steps and check) | WordGPT