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

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


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

Reorder the terms:
4 + 2(-1 + 4x) = -4(3x + -1) + 8x
4 + (-1 * 2 + 4x * 2) = -4(3x + -1) + 8x
4 + (-2 + 8x) = -4(3x + -1) + 8x

Combine like terms: 4 + -2 = 2
2 + 8x = -4(3x + -1) + 8x

Reorder the terms:
2 + 8x = -4(-1 + 3x) + 8x
2 + 8x = (-1 * -4 + 3x * -4) + 8x
2 + 8x = (4 + -12x) + 8x

Combine like terms: -12x + 8x = -4x
2 + 8x = 4 + -4x

Solving
2 + 8x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
2 + 8x + 4x = 4 + -4x + 4x

Combine like terms: 8x + 4x = 12x
2 + 12x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 12x = 4 + 0
2 + 12x = 4

Add '-2' to each side of the equation.
2 + -2 + 12x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 12x = 4 + -2
12x = 4 + -2

Combine like terms: 4 + -2 = 2
12x = 2

Divide each side by '12'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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