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Solve 3x + 7 = 64

The solution of 3x + 7 = 64 is x = 19.

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The lines y = 3x + 7 and y = 64 meet at x = 19141618202224455055606570758085x = 19y = 3x + 7y = 64
The lines y = 3x + 7 and y = 64 meet at x = 19. 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.

    3x+7=643x + 7 = 64
  2. 2

    Subtract 7 from both sides:

    3x+7−7=64−7 ⇒ 3x=573x + 7 - 7 = 64 - 7 \ \Rightarrow\ 3x = 57
  3. 3

    Divide both sides by 3:

    3x3=573 ⇒ x=19\frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    3⋅19+7=57+7=64✓3\cdot19 + 7 = 57 + 7 = 64 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 7 = 64\ \Rightarrow\ x = 19 \]
\[ 3x + 7 = 64 \]
\[ 3x + 7 - 7 = 64 - 7 \ \Rightarrow\ 3x = 57 \]
\[ \frac{3x}{3} = \frac{57}{3} \ \Rightarrow\ x = 19 \]
\[ 3\cdot19 + 7 = 57 + 7 = 64 \checkmark \]

Trying values of x in 3x + 7 = 64

x3x + 7Equals 64?
1758no
1861no
1964yes
2067no
2170no

Questions

What is x in 3x + 7 = 64?

The solution of 3x + 7 = 64 is x = 19.

How do you solve 3x + 7 = 64?

Subtract 7 from both sides to get 3x = 57, then divide both sides by 3 to get x = 19.

How do I check the answer?

Replace x by 19: 3(19) + 7 = 64, which is 64.

Similar equations

    Solve 3x + 7 = 64: x = 19 (steps and check) | WordGPT