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Solve 7x + 13 = 76

The solution of 7x + 13 = 76 is x = 9.

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The lines y = 7x + 13 and y = 76 meet at x = 9468101214406080100120x = 9y = 7x + 13y = 76
The lines y = 7x + 13 and y = 76 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.

    7x+13=767x + 13 = 76
  2. 2

    Subtract 13 from both sides:

    7x+13−13=76−13 ⇒ 7x=637x + 13 - 13 = 76 - 13 \ \Rightarrow\ 7x = 63
  3. 3

    Divide both sides by 7:

    7x7=637 ⇒ x=9\frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9
  4. 4

    Check: put x = 9 back into the equation.

    7⋅9+13=63+13=76✓7\cdot9 + 13 = 63 + 13 = 76 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 13 = 76\ \Rightarrow\ x = 9 \]
\[ 7x + 13 = 76 \]
\[ 7x + 13 - 13 = 76 - 13 \ \Rightarrow\ 7x = 63 \]
\[ \frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9 \]
\[ 7\cdot9 + 13 = 63 + 13 = 76 \checkmark \]

Trying values of x in 7x + 13 = 76

x7x + 13Equals 76?
762no
869no
976yes
1083no
1190no

Questions

What is x in 7x + 13 = 76?

The solution of 7x + 13 = 76 is x = 9.

How do you solve 7x + 13 = 76?

Subtract 13 from both sides to get 7x = 63, then divide both sides by 7 to get x = 9.

How do I check the answer?

Replace x by 9: 7(9) + 13 = 76, which is 76.

Similar equations

    Solve 7x + 13 = 76: x = 9 (steps and check) | WordGPT