Question

1. What is solution to 0.2(6x - 12) = 0.3(6 - 4x)

Answer 1

x = 1.75

Step-by-step explanation:

0.2(6x - 12) = 0.3(6 - 4x)

• Simplify both sides of the equation

0.2(6x − 12) = 0.3(6 − 4x)

(0.2)(6x) + (0.2)(−12) = (0.3)(6) + (0.3)(−4x) (Distribute)

1.2x + −2.4 = 1.8 + −1.2x

1.2x − 2.4 = −1.2x + 1.8

• Add 1.2x to both sides

1.2x − 2.4 + 1.2x = −1.2x + 1.8 + 1.2x

2.4x − 2.4 = 1.8

• Add 2.4 to both sides

2.4x − 2.4 + 2.4 = 1.8 + 2.4

2.4x = 4.2

• Divide both sides by 2.4

2.4x / 2.4 = 4.2 / 2.4

• x = 1.75