Question

determine if the given value is a solution to the equation. answer yes or no. 1 - (x + 1) = 4(3x - 5); x = \frac{20}{13} \bigcirc no \bigcirc yes

Explanation:

Step1: Simplify left-hand side (LHS)

$1 - (x + 1) = 1 - x - 1 = -x$

Step2: Simplify right-hand side (RHS)

$4(3x - 5) = 12x - 20$

Step3: Substitute $x=\frac{20}{13}$ into LHS

$-\frac{20}{13}$

Step4: Substitute $x=\frac{20}{13}$ into RHS

$12\times\frac{20}{13} - 20 = \frac{240}{13} - \frac{260}{13} = -\frac{20}{13}$

Step5: Compare LHS and RHS

$-\frac{20}{13} = -\frac{20}{13}$

Answer:

Yes