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Solve 6x + 3 = 51

The solution of 6x + 3 = 51 is x = 8.

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The lines y = 6x + 3 and y = 51 meet at x = 82468101214102030405060708090x = 8y = 6x + 3y = 51
The lines y = 6x + 3 and y = 51 meet at x = 8. 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=516x + 3 = 51
  2. 2

    Subtract 3 from both sides:

    6x+3−3=51−3 ⇒ 6x=486x + 3 - 3 = 51 - 3 \ \Rightarrow\ 6x = 48
  3. 3

    Divide both sides by 6:

    6x6=486 ⇒ x=8\frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    6⋅8+3=48+3=51✓6\cdot8 + 3 = 48 + 3 = 51 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 3 = 51\ \Rightarrow\ x = 8 \]
\[ 6x + 3 = 51 \]
\[ 6x + 3 - 3 = 51 - 3 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 + 3 = 48 + 3 = 51 \checkmark \]

Trying values of x in 6x + 3 = 51

x6x + 3Equals 51?
639no
745no
851yes
957no
1063no

Questions

What is x in 6x + 3 = 51?

The solution of 6x + 3 = 51 is x = 8.

How do you solve 6x + 3 = 51?

Subtract 3 from both sides to get 6x = 48, then divide both sides by 6 to get x = 8.

How do I check the answer?

Replace x by 8: 6(8) + 3 = 51, which is 51.

Similar equations

    Solve 6x + 3 = 51: x = 8 (steps and check) | WordGPT