Answer:
x = 2
Explanation:
Note the equal sign, what you do to one side, you do to the other.
First, multiply 4 to both sides of the equation:
4 * (3(x + 2))/4 = 4 * (2x - 1)
3(x + 2) = 4(2x - 1)
Simplify. Distribute the outside term to all terms within the parenthesis:
3(x + 2) = (3 * x) + (3 * 2) = 3x + 6
4(2x - 1) = (4 * 2x) + (4 * -1) = 8x - 4
3x + 6 = 8x - 4
Isolate the variable, x. Subtract 8x and 6 from both sides of the equation:
3x (-8x) + 6 (-6) = 8x (-8x) - 4 (-6)
3x - 8x = -4 - 6
-5x = -10
Divide -5 from both sides of the equation to fully isolate x:
(-5x)/-5 = (-10)/-5
x = -10/-5 = 2
x = 2 is your answer.
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