Question

4-2(2x-3)-(2x-4)=-2(x+3)
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Answer 1

`x = 5`

Explanation:

Let's solve:

`4−2(2x−3)−(2x−4)=−2(x+3) \\`

Step 1: Simplify both sides of the equation.

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.

`( - 4x)/( - 4) = ( - 20)/( - 4) \\ x=5`

Answer 2

x = 5

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