Question

What is the value of x in the equation 5(4x-10)+10x = 4(2x-3)+2(x-4)?

A)-7/4 B)-1/4 C)3/20 D)3/2

Answer 1

D (3/2

Explanation:

Simplify both side of the equation: 5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)

(5)(4x) + (5)(−10) + 10x = (4)(2x) + (4)(−3) + (2)(x) + (2)(−4)

Then you distribute: 20x + −50 + 10x = 8x + −12 + 2x + −8

(20x + 10x) + (−50) = (8x + 2x) + (−12 + −8)

Combine like terms: 30x + −50 = 10x + −20

30x - 50 = 10x - 20

Subtract 10x from both sides: 30x − 50 − 10x = 10x − 20 − 10x

20x - 50 = -20

Add 50 to both sides: 20x - 50 + 50 = -20 + 50

20x = 30

Divide both sides by 20: 20x / 20 = 30 / 20

x = 3/2

Boom! I hope that helped :)