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
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Let's solve:
[tex]4−2(2x−3)−(2x−4)=−2(x+3) \\ [/tex]
Step 1: Simplify both sides of the equation.
[tex]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[/tex]
Step 2: Add 2x to both sides.
[tex]−6x+14+2x=−2x−6+2x \\ −4x+14=−6[/tex]
Step 3: Subtract 14 from both sides.
[tex]−4x+14−14=−6−14 \\ −4x=−20[/tex]
Step 4: Divide both sides by -4.
[tex] \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4} \\ x=5[/tex]
