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Solve 4x + 15 = 3

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

The lines y = 4x + 15 and y = 3 meet at x = -3-8-6-4-22-20-10102030x = -3y = 4x + 15y = 3
The lines y = 4x + 15 and y = 3 meet at x = -3. 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+15=34x + 15 = 3
  2. 2

    Subtract 15 from both sides:

    4x+15−15=3−15 ⇒ 4x=−124x + 15 - 15 = 3 - 15 \ \Rightarrow\ 4x = -12
  3. 3

    Divide both sides by 4:

    4x4=−124 ⇒ x=−3\frac{4x}{4} = \frac{-12}{4} \ \Rightarrow\ x = -3
  4. 4

    Check: put x = -3 back into the equation.

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

Trying values of x in 4x + 15 = 3

x4x + 15Equals 3?
-5-5no
-4-1no
-33yes
-27no
-111no

Questions

What is x in 4x + 15 = 3?

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

How do you solve 4x + 15 = 3?

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

How do I check the answer?

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

Similar equations

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