Solve
1.3(7x+4)=1.8(x+5)
choose the correct solution set below
A){x|x¡Ü84/101}
B){x|x¡Ü-84/101}
C){x|x¡Ý-84/101}
D){x|x¡Ý84/101}
1.3(7x + 4) = 1.8(x + 5)
Distribute.
1.3x + 5.2 = 1.8x + 9
Solve for x.
0.5x = -3.8
x = -7.6
To solve the equation 1.3(7x+4) = 1.8(x+5), we need to simplify both sides of the equation and isolate the variable 'x'.
1.3(7x+4) = 1.8(x+5)
First, distribute 1.3 to the terms inside the parentheses:
9.1x + 5.2 = 1.8x + 9
Next, combine like terms by subtracting 1.8x from both sides of the equation:
9.1x - 1.8x + 5.2 = 1.8x - 1.8x + 9
7.3x + 5.2 = 9
Now, isolate the variable by subtracting 5.2 from both sides of the equation:
7.3x + 5.2 - 5.2 = 9 - 5.2
7.3x = 3.8
Finally, divide both sides by 7.3 to solve for 'x':
(7.3x) / 7.3 = 3.8 / 7.3
x = 0.52054
Therefore, the solution to the equation is x = 0.52054.
None of the given options (A, B, C, D) match the solution.