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Solve 2x + 12 = 10

The solution of 2x + 12 = 10 is x = -1.

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The lines y = 2x + 12 and y = 10 meet at x = -1-6-4-2245101520x = -1y = 2x + 12y = 10
The lines y = 2x + 12 and y = 10 meet at x = -1. 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.

    2x+12=102x + 12 = 10
  2. 2

    Subtract 12 from both sides:

    2x+12−12=10−12 ⇒ 2x=−22x + 12 - 12 = 10 - 12 \ \Rightarrow\ 2x = -2
  3. 3

    Divide both sides by 2:

    2x2=−22 ⇒ x=−1\frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1
  4. 4

    Check: put x = -1 back into the equation.

    2⋅(−1)+12=−2+12=10✓2\cdot(-1) + 12 = -2 + 12 = 10 \checkmark
LaTeX source of the formulas on this page
\[ 2x + 12 = 10\ \Rightarrow\ x = -1 \]
\[ 2x + 12 = 10 \]
\[ 2x + 12 - 12 = 10 - 12 \ \Rightarrow\ 2x = -2 \]
\[ \frac{2x}{2} = \frac{-2}{2} \ \Rightarrow\ x = -1 \]
\[ 2\cdot(-1) + 12 = -2 + 12 = 10 \checkmark \]

Trying values of x in 2x + 12 = 10

x2x + 12Equals 10?
-36no
-28no
-110yes
012no
114no

Questions

What is x in 2x + 12 = 10?

The solution of 2x + 12 = 10 is x = -1.

How do you solve 2x + 12 = 10?

Subtract 12 from both sides to get 2x = -2, then divide both sides by 2 to get x = -1.

How do I check the answer?

Replace x by -1: 2(-1) + 12 = 10, which is 10.

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