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Solve 6x + 10 = 64

The solution of 6x + 10 = 64 is x = 9.

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The lines y = 6x + 10 and y = 64 meet at x = 946810121430405060708090100x = 9y = 6x + 10y = 64
The lines y = 6x + 10 and y = 64 meet at x = 9. 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+10=646x + 10 = 64
  2. 2

    Subtract 10 from both sides:

    6x+10−10=64−10 ⇒ 6x=546x + 10 - 10 = 64 - 10 \ \Rightarrow\ 6x = 54
  3. 3

    Divide both sides by 6:

    6x6=546 ⇒ x=9\frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    6⋅9+10=54+10=64✓6\cdot9 + 10 = 54 + 10 = 64 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 10 = 64\ \Rightarrow\ x = 9 \]
\[ 6x + 10 = 64 \]
\[ 6x + 10 - 10 = 64 - 10 \ \Rightarrow\ 6x = 54 \]
\[ \frac{6x}{6} = \frac{54}{6} \ \Rightarrow\ x = 9 \]
\[ 6\cdot9 + 10 = 54 + 10 = 64 \checkmark \]

Trying values of x in 6x + 10 = 64

x6x + 10Equals 64?
752no
858no
964yes
1070no
1176no

Questions

What is x in 6x + 10 = 64?

The solution of 6x + 10 = 64 is x = 9.

How do you solve 6x + 10 = 64?

Subtract 10 from both sides to get 6x = 54, then divide both sides by 6 to get x = 9.

How do I check the answer?

Replace x by 9: 6(9) + 10 = 64, which is 64.

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    Solve 6x + 10 = 64: x = 9 (steps and check) | WordGPT