The equation 0.75(x+40)=0.35(x+20)+0.35(x-20) is having only one solution.
Given equation 0.75(x+40)=0.35(x+20)+0.35(x-20)
We have to find the number of solutions.
To find the number of solutions we have to solve the equation for the value of variable x. Equation is often solved to find the value of variables.
Equation : 0.75(x+40)=0.35(x+20)+0.35(x-20)
Opening the brackets and multiply the numbers outside by the numbers in the bracket.
0.75x+30=0.35x+7+0.35x-7
Take all the numbers having same variables at one end of equal to.
0.75x-0.35x-0.35x=7-7-30
0.75x-0.7x=-30
0.05x=-30
x=-30/0.05
x=-600
Which is the only value of x.
Hence the number of solutions of the equation 0.75(x+40)=0.35(x+20)+0.35(x-20) is one.
Learn more about equation at brainly.com/question/2972832
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