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Solve 6x + 3 = 87

The solution of 6x + 3 = 87 is x = 14.

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The lines y = 6x + 3 and y = 87 meet at x = 1481012141618205060708090100110120130x = 14y = 6x + 3y = 87
The lines y = 6x + 3 and y = 87 meet at x = 14. 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=876x + 3 = 87
  2. 2

    Subtract 3 from both sides:

    6x+3−3=87−3 ⇒ 6x=846x + 3 - 3 = 87 - 3 \ \Rightarrow\ 6x = 84
  3. 3

    Divide both sides by 6:

    6x6=846 ⇒ x=14\frac{6x}{6} = \frac{84}{6} \ \Rightarrow\ x = 14
  4. 4

    Check: put x = 14 back into the equation.

    6⋅14+3=84+3=87✓6\cdot14 + 3 = 84 + 3 = 87 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 3 = 87\ \Rightarrow\ x = 14 \]
\[ 6x + 3 = 87 \]
\[ 6x + 3 - 3 = 87 - 3 \ \Rightarrow\ 6x = 84 \]
\[ \frac{6x}{6} = \frac{84}{6} \ \Rightarrow\ x = 14 \]
\[ 6\cdot14 + 3 = 84 + 3 = 87 \checkmark \]

Trying values of x in 6x + 3 = 87

x6x + 3Equals 87?
1275no
1381no
1487yes
1593no
1699no

Questions

What is x in 6x + 3 = 87?

The solution of 6x + 3 = 87 is x = 14.

How do you solve 6x + 3 = 87?

Subtract 3 from both sides to get 6x = 84, then divide both sides by 6 to get x = 14.

How do I check the answer?

Replace x by 14: 6(14) + 3 = 87, which is 87.

Similar equations

    Solve 6x + 3 = 87: x = 14 (steps and check) | WordGPT