Question

4-2(2x-3)-(2x-4)=-2(x+3)​

Answer 1

Answer:

$x = 5$

Step-by-step explanation:

Let's solve:

$4−2(2x−3)−(2x−4)=−2(x+3)$

Step 1: Simplify both sides of the equation.

$4−2(2x−3)−(2x−4)=−2(x+3) \\ 4−2(2x−3)+−1(2x−4)=−2(x+3) \\ (Distribute the Negative Sign) \\ 4+−2(2x−3)+−1(2x)+(−1)(−4)=−2(x+3) \\ 4+−2(2x−3)+−2x+4=−2(x+3)4+(−2)(2x)+(−2)(−3)+−2x+4=(−2)(x)+(−2)(3) \\ (Distribute) \\ 4+−4x+6+−2x+4=−2x+−6 \\(−4x+−2x)+(4+6+4)=−2x−6(Combine Like Terms) \\ −6x+14=−2x−6 \\ −6x+14=−2x−6$

Step 2: Add 2x to both sides.

$−6x+14+2x=−2x−6+2x \\ −4x+14=−6$

Step 3: Subtract 14 from both sides.

$−4x+14−14=−6−14 \\ −4x=−20$

Step 4: Divide both sides by -4.

$\frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4} \\ x=5$

Answer 2

Answer:

x = 5

Step-by-step explanation:

Given

4 - 2(2x - 3) - (2x - 4) = - 2(x + 3) ← distribute parenthesis on both sides

4 - 4x + 6 - 2x + 4 = - 2x - 6

- 6x + 14 = - 2x - 6 ( add 2x to both sides )

- 4x + 14 = - 6 ( subtract 14 from both sides )

- 4x = - 20 ( divide both sides by - 4 )

x = 5