3x+4(-8+2x)=1-x

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Solution for 3x+4(-8+2x)=1-x equation:


Simplifying
3x + 4(-8 + 2x) = 1 + -1x
3x + (-8 * 4 + 2x * 4) = 1 + -1x
3x + (-32 + 8x) = 1 + -1x

Reorder the terms:
-32 + 3x + 8x = 1 + -1x

Combine like terms: 3x + 8x = 11x
-32 + 11x = 1 + -1x

Solving
-32 + 11x = 1 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-32 + 11x + x = 1 + -1x + x

Combine like terms: 11x + x = 12x
-32 + 12x = 1 + -1x + x

Combine like terms: -1x + x = 0
-32 + 12x = 1 + 0
-32 + 12x = 1

Add '32' to each side of the equation.
-32 + 32 + 12x = 1 + 32

Combine like terms: -32 + 32 = 0
0 + 12x = 1 + 32
12x = 1 + 32

Combine like terms: 1 + 32 = 33
12x = 33

Divide each side by '12'.
x = 2.75

Simplifying
x = 2.75

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