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Solve 4x + 12 = 8

The solution of 4x + 12 = 8 is x = -1.

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The lines y = 4x + 12 and y = 8 meet at x = -1-6-4-224-20-10102030x = -1y = 4x + 12y = 8
The lines y = 4x + 12 and y = 8 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.

    4x+12=84x + 12 = 8
  2. 2

    Subtract 12 from both sides:

    4x+12−12=8−12 ⇒ 4x=−44x + 12 - 12 = 8 - 12 \ \Rightarrow\ 4x = -4
  3. 3

    Divide both sides by 4:

    4x4=−44 ⇒ x=−1\frac{4x}{4} = \frac{-4}{4} \ \Rightarrow\ x = -1
  4. 4

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

    4⋅(−1)+12=−4+12=8✓4\cdot(-1) + 12 = -4 + 12 = 8 \checkmark
LaTeX source of the formulas on this page
\[ 4x + 12 = 8\ \Rightarrow\ x = -1 \]
\[ 4x + 12 = 8 \]
\[ 4x + 12 - 12 = 8 - 12 \ \Rightarrow\ 4x = -4 \]
\[ \frac{4x}{4} = \frac{-4}{4} \ \Rightarrow\ x = -1 \]
\[ 4\cdot(-1) + 12 = -4 + 12 = 8 \checkmark \]

Trying values of x in 4x + 12 = 8

x4x + 12Equals 8?
-30no
-24no
-18yes
012no
116no

Questions

What is x in 4x + 12 = 8?

The solution of 4x + 12 = 8 is x = -1.

How do you solve 4x + 12 = 8?

Subtract 12 from both sides to get 4x = -4, then divide both sides by 4 to get x = -1.

How do I check the answer?

Replace x by -1: 4(-1) + 12 = 8, which is 8.

Similar equations

    Solve 4x + 12 = 8: x = -1 (steps and check) | WordGPT