Question

What are the solutions of the following equation?
4|x -9| +9 = -3|x -9| +9 4∣x−9∣+9=−3∣x−9∣+9

Answer 1

Answer: it's x=9

Explanation:

Answer 2

x = 9

Explanation:

4∣x−9∣+9 = −3∣x−9∣+9

cancel equal terms on both sides of the equation

• 4∣x−9∣+9 = −3∣x−9∣+9

the statement is true but only if both sides equal 0

• 4∣x − 9∣= −3∣x − 9∣

• 4 x | x - 9| = 0

• −3∣x − 9∣= 0

solve the equation for x

• 4x |x -9| = 0

divide both sides of the equation by 4

• |x-9| = 0

when the absolute value of x - 9 equals 0, then x - 9 = 0

• x - 9 = 0

move the constant to the right side and change it´s sign

• x - 9 = 0
• x = 9

so the answer would be x = 9