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Solve 3x + 15 = 3

The solution of 3x + 15 = 3 is x = -4.

The lines y = 3x + 15 and y = 3 meet at x = -4-10-8-6-4-22-15-10-55101520x = -4y = 3x + 15y = 3
The lines y = 3x + 15 and y = 3 meet at x = -4. 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.

    3x+15=33x + 15 = 3
  2. 2

    Subtract 15 from both sides:

    3x+15−15=3−15 ⇒ 3x=−123x + 15 - 15 = 3 - 15 \ \Rightarrow\ 3x = -12
  3. 3

    Divide both sides by 3:

    3x3=−123 ⇒ x=−4\frac{3x}{3} = \frac{-12}{3} \ \Rightarrow\ x = -4
  4. 4

    Check: put x = -4 back into the equation.

    3⋅(−4)+15=−12+15=3✓3\cdot(-4) + 15 = -12 + 15 = 3 \checkmark
LaTeX source of the formulas on this page
\[ 3x + 15 = 3\ \Rightarrow\ x = -4 \]
\[ 3x + 15 = 3 \]
\[ 3x + 15 - 15 = 3 - 15 \ \Rightarrow\ 3x = -12 \]
\[ \frac{3x}{3} = \frac{-12}{3} \ \Rightarrow\ x = -4 \]
\[ 3\cdot(-4) + 15 = -12 + 15 = 3 \checkmark \]

Trying values of x in 3x + 15 = 3

x3x + 15Equals 3?
-6-3no
-50no
-43yes
-36no
-29no

Questions

What is x in 3x + 15 = 3?

The solution of 3x + 15 = 3 is x = -4.

How do you solve 3x + 15 = 3?

Subtract 15 from both sides to get 3x = -12, then divide both sides by 3 to get x = -4.

How do I check the answer?

Replace x by -4: 3(-4) + 15 = 3, which is 3.

Similar equations

    Solve 3x + 15 = 3: x = -4 (steps and check) | WordGPT