What is the solution to the equation 3(x - 1) - 2(2x + 1) = 8(x - 1)?

Solution:

Given, the equation is 3(x - 1) - 2(2x + 1) = 8(x - 1)

On grouping the like terms, we can solve the equation.

LHS = 3(x - 1) - 2(2x + 1)

= 3x - 3 - 4x - 2

= -x - 5

RHS = 8(x - 1)

= 8x - 8

Now, -x - 5 = 8x - 8

⇒ 8x + x = 8 - 5

⇒ 9x = 3

⇒ x = 3/9

⇒ x = 1/3

Therefore, the solution to the equation is 1/3.

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What is the solution to the equation 3(x - 1) - 2(2x + 1) = 8(x - 1)?

Summary:

The solution to the equation 3(x - 1) - 2(2x + 1) = 8(x - 1) is 1/3.