2(4x+2)=4x-11(x-1)

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Solution for 2(4x+2)=4x-11(x-1) equation:


Simplifying
2(4x + 2) = 4x + -11(x + -1)

Reorder the terms:
2(2 + 4x) = 4x + -11(x + -1)
(2 * 2 + 4x * 2) = 4x + -11(x + -1)
(4 + 8x) = 4x + -11(x + -1)

Reorder the terms:
4 + 8x = 4x + -11(-1 + x)
4 + 8x = 4x + (-1 * -11 + x * -11)
4 + 8x = 4x + (11 + -11x)

Reorder the terms:
4 + 8x = 11 + 4x + -11x

Combine like terms: 4x + -11x = -7x
4 + 8x = 11 + -7x

Solving
4 + 8x = 11 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
4 + 8x + 7x = 11 + -7x + 7x

Combine like terms: 8x + 7x = 15x
4 + 15x = 11 + -7x + 7x

Combine like terms: -7x + 7x = 0
4 + 15x = 11 + 0
4 + 15x = 11

Add '-4' to each side of the equation.
4 + -4 + 15x = 11 + -4

Combine like terms: 4 + -4 = 0
0 + 15x = 11 + -4
15x = 11 + -4

Combine like terms: 11 + -4 = 7
15x = 7

Divide each side by '15'.
x = 0.4666666667

Simplifying
x = 0.4666666667

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