Question

What is the value of x in equation 0.2(x+1)+ 0.5x = - 0.3(x-4)

Answer 1

x = 1

Explanation:

`0.2(x+1)+ 0.5x = - 0.3(x-4)\qquad\text{mulriply both sides by 10}\\\\(10)(0.2)(x+1)+(10)(0.5x)=(10)(-0.3)(x-4)\\\\2(x+1)+5x=-3(x-4)\qquad\text{use the distributive property}\\\\2x+2+5x=-3x+(-3)(-4)\qquad\text{combine like terms}\\\\(2x+5x)+2=-3x-12\\\\7x+2=-3x+12\qquad\text{subtract 2 from both sides}\\\\7x+2-2=-3x+12-2\\\\7x=-3x+10\qquad\text{add}\ 3x\ \text{to both sides}\\\\7x+3x=-3x+3x+10\\\\10x=10\qquad\text{divide borh sides by 10}\\\\(10x)/(10)=(10)/(10)\\\\x=1`

Answer 2

Explanation:

0.2(x+1)+ 0.5x = - 0.3(x-4)

0.2*x + 0.2*1 + 0.5x = -0.3*x + 0.3*4

0.2x + 0.5x + 0.2 = -0.3x + 1.2

0.2x + 0.5x + 0.3x = 1.2 -0.2

1.0x = 1.0

x = 1