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Solve 7x + 14 = 147

The solution of 7x + 14 = 147 is x = 19.

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The lines y = 7x + 14 and y = 147 meet at x = 19141618202224100120140160180x = 19y = 7x + 14y = 147
The lines y = 7x + 14 and y = 147 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.

    7x+14=1477x + 14 = 147
  2. 2

    Subtract 14 from both sides:

    7x+14−14=147−14 ⇒ 7x=1337x + 14 - 14 = 147 - 14 \ \Rightarrow\ 7x = 133
  3. 3

    Divide both sides by 7:

    7x7=1337 ⇒ x=19\frac{7x}{7} = \frac{133}{7} \ \Rightarrow\ x = 19
  4. 4

    Check: put x = 19 back into the equation.

    7⋅19+14=133+14=147✓7\cdot19 + 14 = 133 + 14 = 147 \checkmark
LaTeX source of the formulas on this page
\[ 7x + 14 = 147\ \Rightarrow\ x = 19 \]
\[ 7x + 14 = 147 \]
\[ 7x + 14 - 14 = 147 - 14 \ \Rightarrow\ 7x = 133 \]
\[ \frac{7x}{7} = \frac{133}{7} \ \Rightarrow\ x = 19 \]
\[ 7\cdot19 + 14 = 133 + 14 = 147 \checkmark \]

Trying values of x in 7x + 14 = 147

x7x + 14Equals 147?
17133no
18140no
19147yes
20154no
21161no

Questions

What is x in 7x + 14 = 147?

The solution of 7x + 14 = 147 is x = 19.

How do you solve 7x + 14 = 147?

Subtract 14 from both sides to get 7x = 133, then divide both sides by 7 to get x = 19.

How do I check the answer?

Replace x by 19: 7(19) + 14 = 147, which is 147.

Similar equations

    Solve 7x + 14 = 147: x = 19 (steps and check) | WordGPT