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You may solve algebraically. 4(2x-3)=2(3x+1)

User Ryan Rebo
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Final answer:

To solve the equation 4(2x-3)=2(3x+1) algebraically, distribute and combine like terms to isolate the variable x. The solution is x = 7.

Step-by-step explanation:

To solve the algebraic equation 4(2x-3)=2(3x+1), first expand both sides:

8x - 12 = 6x + 2

Next, move the terms involving x to one side and the constant terms to the other side to isolate the variable:

8x - 6x = 2 + 12

2x = 14

Finally, divide both sides by 2 to solve for x:

x = 7

Remember that multiplication or division should apply to every term on either side of the equality. Solving an equation in one variable is a matter of isolating that variable, often through a series of algebraic steps that require careful checking and rechecking.

User Baydi
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