Question

Solve the following equation -2x + 4 = 2 (4x - 3) -3 (-8 + 4x)

a.7
b.2
c.-7
d.3

Answer 1

it would be B I think

Answer 2

`A) 7`

Explanation:

`-2x+4=2\left(4x-3\right)-3\left(-8+4x\right)`

`2\left(4x-3\right)-3\left(-8+4x\right)`

`2 (4x - 3)`

`\longrightarrow8x-6`

`\longrightarrow 8x-6-3\left(-8+4x\right)`

`-3 (-8 + 4x)`

`\longrightarrow 24-12x`

`8x-6+24-12x`

Combine like terms:

`8x-12x-6+24`

Add:
`8x-12x=-4x`

Add:
`-6+24=18`

`\longrightarrow-2x+4=-4x+18`

Subtract 4 from both sides:

`\longrightarrow-2x+4-4=-4x+18-4`

`\longrightarrow-2x=-4x+14`

Add 4x to both sides:

`\longrightarrow-2x+4x=-4x+14+4x`

`\longrightarrow2x=14`

Divide both sides by 2:

`\longrightarrow(2x)/(2)=(14)/(2)`

`\longrightarrow x=7`

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