What is the answer answer and plz give me step by step explaining

x = 5

Step-by-step explanation:

6 + 8(x - 1) = 2(3x + 4)

We evaluate the numbers in the brackets first.

(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)

6 + 8x - 8 = 6x + 8

The left hand side of the equation is not exactly simplified, so we will evaluate it further first.

(6 - 8 = -2)

8x - 2 = 6x + 8

Now we can start shifting the x and the numbers separately.

Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.

8x - 6x = 8 + 2

Further evaluation

2x = 10

Now we can simply find x.

Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.

x = 10 ÷ 2

Evaluate.

x = 5