πŸ‘€

Answer :

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

DarlinEstevesgo

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Let's solve:

[tex]4βˆ’2(2xβˆ’3)βˆ’(2xβˆ’4)=βˆ’2(x+3) \\ [/tex]

Step 1: Simplify both sides of the equation.

[tex]4βˆ’2(2xβˆ’3)βˆ’(2xβˆ’4)=βˆ’2(x+3) \\ 4βˆ’2(2xβˆ’3)+βˆ’1(2xβˆ’4)=βˆ’2(x+3) \\ (Distribute the Negative Sign)

\\ 4+βˆ’2(2xβˆ’3)+βˆ’1(2x)+(βˆ’1)(βˆ’4)=βˆ’2(x+3) \\

4+βˆ’2(2xβˆ’3)+βˆ’2x+4=βˆ’2(x+3)

4+(βˆ’2)(2x)+(βˆ’2)(βˆ’3)+βˆ’2x+4=(βˆ’2)(x)+(βˆ’2)(3) \\ (Distribute) \\

4+βˆ’4x+6+βˆ’2x+4=βˆ’2x+βˆ’6 \\(βˆ’4x+βˆ’2x)+(4+6+4)=βˆ’2xβˆ’6(Combine Like Terms) \\ βˆ’6x+14=βˆ’2xβˆ’6

\\ βˆ’6x+14=βˆ’2xβˆ’6[/tex]

Step 2: Add 2x to both sides.

[tex]βˆ’6x+14+2x=βˆ’2xβˆ’6+2x \\ βˆ’4x+14=βˆ’6[/tex]

Step 3: Subtract 14 from both sides.

[tex]βˆ’4x+14βˆ’14=βˆ’6βˆ’14 \\ βˆ’4x=βˆ’20[/tex]

Step 4: Divide both sides by -4.

[tex] \frac{ - 4x}{ - 4} = \frac{ - 20}{ - 4} \\ x=5[/tex]

Go Teaching: Other Questions