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Solve 6x + 15 = 3

The solution of 6x + 15 = 3 is x = -2.

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The lines y = 6x + 15 and y = 3 meet at x = -2-8-6-4-224-40-30-20-1010203040x = -2y = 6x + 15y = 3
The lines y = 6x + 15 and y = 3 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.

    6x+15=36x + 15 = 3
  2. 2

    Subtract 15 from both sides:

    6x+15−15=3−15 ⇒ 6x=−126x + 15 - 15 = 3 - 15 \ \Rightarrow\ 6x = -12
  3. 3

    Divide both sides by 6:

    6x6=−126 ⇒ x=−2\frac{6x}{6} = \frac{-12}{6} \ \Rightarrow\ x = -2
  4. 4

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

    6⋅(−2)+15=−12+15=3✓6\cdot(-2) + 15 = -12 + 15 = 3 \checkmark
LaTeX source of the formulas on this page
\[ 6x + 15 = 3\ \Rightarrow\ x = -2 \]
\[ 6x + 15 = 3 \]
\[ 6x + 15 - 15 = 3 - 15 \ \Rightarrow\ 6x = -12 \]
\[ \frac{6x}{6} = \frac{-12}{6} \ \Rightarrow\ x = -2 \]
\[ 6\cdot(-2) + 15 = -12 + 15 = 3 \checkmark \]

Trying values of x in 6x + 15 = 3

x6x + 15Equals 3?
-4-9no
-3-3no
-23yes
-19no
015no

Questions

What is x in 6x + 15 = 3?

The solution of 6x + 15 = 3 is x = -2.

How do you solve 6x + 15 = 3?

Subtract 15 from both sides to get 6x = -12, then divide both sides by 6 to get x = -2.

How do I check the answer?

Replace x by -2: 6(-2) + 15 = 3, which is 3.

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    Solve 6x + 15 = 3: x = -2 (steps and check) | WordGPT