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Solve 6x + 3 = 93

The solution of 6x + 3 = 93 is x = 15.

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The lines y = 6x + 3 and y = 93 meet at x = 151012141618205060708090100110120130x = 15y = 6x + 3y = 93
The lines y = 6x + 3 and y = 93 meet at x = 15. 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=936x + 3 = 93
  2. 2

    Subtract 3 from both sides:

    6x+3−3=93−3 ⇒ 6x=906x + 3 - 3 = 93 - 3 \ \Rightarrow\ 6x = 90
  3. 3

    Divide both sides by 6:

    6x6=906 ⇒ x=15\frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15
  4. 4

    Check: put x = 15 back into the equation.

    6⋅15+3=90+3=93✓6\cdot15 + 3 = 90 + 3 = 93 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 3 = 93\ \Rightarrow\ x = 15 \]
\[ 6x + 3 = 93 \]
\[ 6x + 3 - 3 = 93 - 3 \ \Rightarrow\ 6x = 90 \]
\[ \frac{6x}{6} = \frac{90}{6} \ \Rightarrow\ x = 15 \]
\[ 6\cdot15 + 3 = 90 + 3 = 93 \checkmark \]

Trying values of x in 6x + 3 = 93

x6x + 3Equals 93?
1381no
1487no
1593yes
1699no
17105no

Questions

What is x in 6x + 3 = 93?

The solution of 6x + 3 = 93 is x = 15.

How do you solve 6x + 3 = 93?

Subtract 3 from both sides to get 6x = 90, then divide both sides by 6 to get x = 15.

How do I check the answer?

Replace x by 15: 6(15) + 3 = 93, which is 93.

Similar equations

    Solve 6x + 3 = 93: x = 15 (steps and check) | WordGPT