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Solve for [tex]\( x \)[/tex]:
[tex]\[ 4x - 8 = -4(2x - 3) + 4 \][/tex]

Sagot :

GinnyAnsweridn
Sure! Let's solve the equation step by step:

We start with the given equation:
[tex]\[ 4x - 8 = -4(2x - 3) + 4 \][/tex]

1. Distribute the [tex]\(-4\)[/tex] on the right side of the equation:
[tex]\[ -4(2x - 3) = -4 \cdot 2x + (-4 \cdot -3) \][/tex]
[tex]\[ -4(2x - 3) = -8x + 12 \][/tex]

2. Substitute [tex]\(-8x + 12\)[/tex] back into our equation:
[tex]\[ 4x - 8 = -8x + 12 + 4 \][/tex]

3. Combine like terms on the right side:
[tex]\[ 4x - 8 = -8x + 16 \][/tex]

4. Add [tex]\(8x\)[/tex] to both sides to start isolating [tex]\(x\)[/tex]:
[tex]\[ 4x + 8x - 8 = 16 \][/tex]
[tex]\[ 12x - 8 = 16 \][/tex]

5. Add [tex]\(8\)[/tex] to both sides to further isolate [tex]\(x\)[/tex]:
[tex]\[ 12x - 8 + 8 = 16 + 8 \][/tex]
[tex]\[ 12x = 24 \][/tex]

6. Finally, divide both sides by [tex]\(12\)[/tex] to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{24}{12} \][/tex]
[tex]\[ x = 2 \][/tex]

The solution to the equation [tex]\( 4x - 8 = -4(2x - 3) + 4 \)[/tex] is [tex]\( x = 2 \)[/tex].
Wegnerkolmp2741oidn

Answer:

x=2

Step-by-step explanation:

4x - 8 = -4(2x - 3) + 4

Distribute the -4.

4x-8 = -8x+12 +4

Combine like terms.

4x-8 = -8x+16

Add 8x to each side.

4x+8x-8 = -8x+8x-16

12x-8 = 16

Add 8 to each side.

12x-8+8 = 16+8

12x = 24

Divide each side by 12.

12x/12 = 24/12

x=2

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