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Solve 7x + 14 = 70

The solution of 7x + 14 = 70 is x = 8.

The lines y = 7x + 14 and y = 70 meet at x = 8246810121420406080100120x = 8y = 7x + 14y = 70
The lines y = 7x + 14 and y = 70 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.

    7x+14=707x + 14 = 70
  2. 2

    Subtract 14 from both sides:

    7x+14−14=70−14 ⇒ 7x=567x + 14 - 14 = 70 - 14 \ \Rightarrow\ 7x = 56
  3. 3

    Divide both sides by 7:

    7x7=567 ⇒ x=8\frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8
  4. 4

    Check: put x = 8 back into the equation.

    7⋅8+14=56+14=70✓7\cdot8 + 14 = 56 + 14 = 70 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 14 = 70\ \Rightarrow\ x = 8 \]
\[ 7x + 14 = 70 \]
\[ 7x + 14 - 14 = 70 - 14 \ \Rightarrow\ 7x = 56 \]
\[ \frac{7x}{7} = \frac{56}{7} \ \Rightarrow\ x = 8 \]
\[ 7\cdot8 + 14 = 56 + 14 = 70 \checkmark \]

Trying values of x in 7x + 14 = 70

x7x + 14Equals 70?
656no
763no
870yes
977no
1084no

Questions

What is x in 7x + 14 = 70?

The solution of 7x + 14 = 70 is x = 8.

How do you solve 7x + 14 = 70?

Subtract 14 from both sides to get 7x = 56, then divide both sides by 7 to get x = 8.

How do I check the answer?

Replace x by 8: 7(8) + 14 = 70, which is 70.

Similar equations

    Solve 7x + 14 = 70: x = 8 (steps and check) | WordGPT