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Solve 5x + 12 = 2

The solution of 5x + 12 = 2 is x = -2.

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The lines y = 5x + 12 and y = 2 meet at x = -2-8-6-4-224-30-20-10102030x = -2y = 5x + 12y = 2
The lines y = 5x + 12 and y = 2 meet at x = -2. 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.

    5x+12=25x + 12 = 2
  2. 2

    Subtract 12 from both sides:

    5x+12−12=2−12 ⇒ 5x=−105x + 12 - 12 = 2 - 12 \ \Rightarrow\ 5x = -10
  3. 3

    Divide both sides by 5:

    5x5=−105 ⇒ x=−2\frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2
  4. 4

    Check: put x = -2 back into the equation.

    5⋅(−2)+12=−10+12=2✓5\cdot(-2) + 12 = -10 + 12 = 2 \checkmark
LaTeX source of the formulas on this page
\[ 5x + 12 = 2\ \Rightarrow\ x = -2 \]
\[ 5x + 12 = 2 \]
\[ 5x + 12 - 12 = 2 - 12 \ \Rightarrow\ 5x = -10 \]
\[ \frac{5x}{5} = \frac{-10}{5} \ \Rightarrow\ x = -2 \]
\[ 5\cdot(-2) + 12 = -10 + 12 = 2 \checkmark \]

Trying values of x in 5x + 12 = 2

x5x + 12Equals 2?
-4-8no
-3-3no
-22yes
-17no
012no

Questions

What is x in 5x + 12 = 2?

The solution of 5x + 12 = 2 is x = -2.

How do you solve 5x + 12 = 2?

Subtract 12 from both sides to get 5x = -10, then divide both sides by 5 to get x = -2.

How do I check the answer?

Replace x by -2: 5(-2) + 12 = 2, which is 2.

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    Solve 5x + 12 = 2: x = -2 (steps and check) | WordGPT