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Solve 7x + 14 = 154

The solution of 7x + 14 = 154 is x = 20.

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The lines y = 7x + 14 and y = 154 meet at x = 2014161820222426120140160180200x = 20y = 7x + 14y = 154
The lines y = 7x + 14 and y = 154 meet at x = 20. 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=1547x + 14 = 154
  2. 2

    Subtract 14 from both sides:

    7x+14−14=154−14 ⇒ 7x=1407x + 14 - 14 = 154 - 14 \ \Rightarrow\ 7x = 140
  3. 3

    Divide both sides by 7:

    7x7=1407 ⇒ x=20\frac{7x}{7} = \frac{140}{7} \ \Rightarrow\ x = 20
  4. 4

    Check: put x = 20 back into the equation.

    7⋅20+14=140+14=154✓7\cdot20 + 14 = 140 + 14 = 154 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 14 = 154\ \Rightarrow\ x = 20 \]
\[ 7x + 14 = 154 \]
\[ 7x + 14 - 14 = 154 - 14 \ \Rightarrow\ 7x = 140 \]
\[ \frac{7x}{7} = \frac{140}{7} \ \Rightarrow\ x = 20 \]
\[ 7\cdot20 + 14 = 140 + 14 = 154 \checkmark \]

Trying values of x in 7x + 14 = 154

x7x + 14Equals 154?
18140no
19147no
20154yes
21161no
22168no

Questions

What is x in 7x + 14 = 154?

The solution of 7x + 14 = 154 is x = 20.

How do you solve 7x + 14 = 154?

Subtract 14 from both sides to get 7x = 140, then divide both sides by 7 to get x = 20.

How do I check the answer?

Replace x by 20: 7(20) + 14 = 154, which is 154.

Similar equations

    Solve 7x + 14 = 154: x = 20 (steps and check) | WordGPT