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Solve 7x + 5 = 68

The solution of 7x + 5 = 68 is x = 9.

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The lines y = 7x + 5 and y = 68 meet at x = 946810121420406080100x = 9y = 7x + 5y = 68
The lines y = 7x + 5 and y = 68 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+5=687x + 5 = 68
  2. 2

    Subtract 5 from both sides:

    7x+5−5=68−5 ⇒ 7x=637x + 5 - 5 = 68 - 5 \ \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+5=63+5=68✓7\cdot9 + 5 = 63 + 5 = 68 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 5 = 68\ \Rightarrow\ x = 9 \]
\[ 7x + 5 = 68 \]
\[ 7x + 5 - 5 = 68 - 5 \ \Rightarrow\ 7x = 63 \]
\[ \frac{7x}{7} = \frac{63}{7} \ \Rightarrow\ x = 9 \]
\[ 7\cdot9 + 5 = 63 + 5 = 68 \checkmark \]

Trying values of x in 7x + 5 = 68

x7x + 5Equals 68?
754no
861no
968yes
1075no
1182no

Questions

What is x in 7x + 5 = 68?

The solution of 7x + 5 = 68 is x = 9.

How do you solve 7x + 5 = 68?

Subtract 5 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) + 5 = 68, which is 68.

Similar equations

    Solve 7x + 5 = 68: x = 9 (steps and check) | WordGPT