Question

What is the value of x in the equation 5 (4 x minus 10) + 10 x = 4 (2 x minus 3) + 2 (x minus 4)? Negative StartFraction 7 Over 4 EndFraction Negative one-fourth StartFraction 3 Over 20 EndFraction Three-halves

Answer 1

x= 3/2 = 1.5

Explanation:

● 5(4x-10)+10x =4(2x-3)+2(x-4)

Simplify the products

● 5*4x-5*10+10x = 4*2x-4*3+2*x-2*4

● 20x-50+10x = 8x-12+2x-8

Add the terms that don't contain x with each other

●20x-50+10x = 8x-20+2x

Add 20 in both sides

●20x-50+20+10x = 8x-20+2x+20

●20x-30+10x = 8x+2x

Add together the terms that contain x

●30x -30 = 10x

Add -10x in both sides

●30x-30-10x = 10x-10x

● 20x -30 = 0

Add 30 in both sides

● 20x-30+30 = 30

● 20x = 30

Divide both sides by 20

●20x/20 = 30/20

● x= 30/20

● x= 3/2

● x= 1.5