Question

How to solve 2x + 3 = 4(x - 1 )

Answer 1

To solve this problem, you must first write your equation

Equation:

2x+3=4(x−1)

Step 1: Simplify both sides of the equation.

2x+3=4(x−1) ... Original equation

2x+3=(4)(x)+(4)(−1) ... Distribute

2x+3=4x+(−4

) ... Answer to above

2x+3=4x−4 ... Getting rid of parenthesis

Step 2: Subtract 4x from both sides.

2x+3−4x=4x−4−4x ... Getting rid of 4x

−2x+3=−4 ... When you got rid 4x

Step 3: Subtract 3 from both sides.

−2x+3−3=−4−3 ... Getting rid of 3 so we have x=y

−2x=−7 ... When you got rid of 3

Step 4: Divide both sides by -2.

-2x/-2=-7/-2 ... Divide by 2

Step 5: Answer

x=7/2

So the answer is x=7/2 or 3.5

Answer 2

x = 3.5

Explanation:

`2x+3=4(x-1)\qquad\text{use the distributive property}\ a(b+a)=ab+ac\\\\2x+3=4x+(4)(-1)\\\\2x+3=4x-4\qquad\text{subtract 3 from both sides}\\\\2x+3-3=4x-4-3\\\\2x=4x-7\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\2x-4x=4x-4x-7\\\\-2x=-7\qquad\text{divide both sides by (-2)}\\\\(-2x)/(-2)=(-7)/(-2)\\\\x=3.5`