1) Find the solution to each equation.
A) 4(2x - 1) = -3x + 32
The solution to the equation 4(2x - 1) = -3x + 32 is x = 3.273
Need to find the solution of following equation
4(2x - 1) = -3x + 32
Let use BODMAS rule to solve the expression
According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.
On opening the bracket of left hand side we get
[tex]4 \times 2x-4 \times 1=-3 x+32[/tex]
Now perform multiplication,
8x – 4 = -3x + 32
On bringing terms having variable x in left hand side and constant term on right hand side we get
8x + 3x = 32 + 4
=> 11x = 36
On dividing both sides by 11, we get
[tex]\begin{array}{l}{\Rightarrow \frac{11 x}{11}=\frac{36}{11}} \\\\ {\Rightarrow x=\frac{36}{11}=3.273}\end{array}[/tex]
Hence solution of equation 4(2x - 1) = -3x + 32 is 3.273
