Question

solve the equation for x: -3x + 1 = 2(4x + 5)

Explanation:

Step1: Expand right-hand side

$-3x + 1 = 8x + 10$

Step2: Move x terms to left

$-3x - 8x + 1 = 10$

Step3: Combine like terms

$-11x + 1 = 10$

Step4: Move constant to right

$-11x = 10 - 1$

Step5: Simplify right-hand side

$-11x = 9$

Step6: Solve for x

$x = -\frac{9}{11}$

Answer:

$x = -\frac{9}{11}$