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

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


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

Reorder the terms:
-3(-1 + x) = 4(x + 2) * 2
(-1 * -3 + x * -3) = 4(x + 2) * 2
(3 + -3x) = 4(x + 2) * 2

Reorder the terms:
3 + -3x = 4(2 + x) * 2

Reorder the terms for easier multiplication:
3 + -3x = 4 * 2(2 + x)

Multiply 4 * 2
3 + -3x = 8(2 + x)
3 + -3x = (2 * 8 + x * 8)
3 + -3x = (16 + 8x)

Solving
3 + -3x = 16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + -3x + -8x = 16 + 8x + -8x

Combine like terms: -3x + -8x = -11x
3 + -11x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -11x = 16 + 0
3 + -11x = 16

Add '-3' to each side of the equation.
3 + -3 + -11x = 16 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = 16 + -3
-11x = 16 + -3

Combine like terms: 16 + -3 = 13
-11x = 13

Divide each side by '-11'.
x = -1.181818182

Simplifying
x = -1.181818182

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