0.75(x+20)=2+0.5(x-2)
Distribute on both sides
0.75x+15= 2+0.5x-1
Add common factors
0.75x+15=1+0.5x
Subtract 0.5x on both sides
0.25x+15=1
Subtract 15 on both sides
0.25x=-14
Divide by 0.25 on both sides
x = -56
The value of x that will make both equations to be equivalent to each other is = -56
From the equation:
0.75(x + 20) = 2 + 0.5(x - 2)
Open brackets
0.75x + 15 = 2 + 0.5x - 1
Collect like terms
0.75x - 0.5x = 2 - 1 - 15
0.25x = - 14
Divide both sides by 0.25
[tex]\mathsf{\dfrac{0.25x}{0.25} =\dfrac{ - 14}{0.25}}[/tex]
x = -56
Therefore, we can conclude that the value of x that will make both equations to be equivalent to each other is -56
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