To determine the number of solutions for the equation (8x-2) = 6(4x-1), let's simplify and solve it step by step.
First, distribute 6 to both terms inside the parentheses:
8x - 2 = 24x - 6
Next, let's simplify the equation by moving all terms involving x to one side:
8x - 24x = -6 + 2
-16x = -4
Dividing both sides by -16:
x = -4 / -16
x = 1/4
Therefore, the equation has one solution, which is x = 1/4.
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