Answer:
4(x-7)=0.3(x+2)+2.11
We move all terms to the left:
4(x-7)-(0.3(x+2)+2.11)=0
We multiply parentheses
4x-(0.3(x+2)+2.11)-28=0
We calculate terms in parentheses: -(0.3(x+2)+2.11), so:
0.3(x+2)+2.11
We multiply parentheses
0.3x+0.6+2.11
We add all the numbers together, and all the variables
0.3x+2.71
Back to the equation:
-(0.3x+2.71)
We get rid of parentheses
4x-0.3x-2.71-28=0
We add all the numbers together, and all the variables
3.7x-30.71=0
We move all terms containing x to the left, all other terms to the right
3.7x=30.71
x=30.71/3.7
x=8+1/3.33333333333
Step-by-step explanation:
The solution to the equation is 8.154 .
Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.
According to the question
4(x-7) = 0.3(x+2) + 2.11
Now,
Solving the equation
4x - 28 = 0.3x + 0.6 + 2.11
4x - 0.3x = 28 + 0.6 + 2.11
3.7x = 30.17
x = [tex]\frac{30.17}{3.7}[/tex]
x = 8.154
Hence, the solution of the equation is 8.154 .
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