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Solve 6x + 15 = 63

The solution of 6x + 15 = 63 is x = 8.

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The lines y = 6x + 15 and y = 63 meet at x = 824681012142030405060708090100x = 8y = 6x + 15y = 63
The lines y = 6x + 15 and y = 63 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+15=636x + 15 = 63
  2. 2

    Subtract 15 from both sides:

    6x+15−15=63−15 ⇒ 6x=486x + 15 - 15 = 63 - 15 \ \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+15=48+15=63✓6\cdot8 + 15 = 48 + 15 = 63 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 15 = 63\ \Rightarrow\ x = 8 \]
\[ 6x + 15 = 63 \]
\[ 6x + 15 - 15 = 63 - 15 \ \Rightarrow\ 6x = 48 \]
\[ \frac{6x}{6} = \frac{48}{6} \ \Rightarrow\ x = 8 \]
\[ 6\cdot8 + 15 = 48 + 15 = 63 \checkmark \]

Trying values of x in 6x + 15 = 63

x6x + 15Equals 63?
651no
757no
863yes
969no
1075no

Questions

What is x in 6x + 15 = 63?

The solution of 6x + 15 = 63 is x = 8.

How do you solve 6x + 15 = 63?

Subtract 15 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) + 15 = 63, which is 63.

Similar equations

    Solve 6x + 15 = 63: x = 8 (steps and check) | WordGPT