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

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


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

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

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

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

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

Reorder the terms:
1 + -4x = -8 + 4 + 8x + -1x

Combine like terms: -8 + 4 = -4
1 + -4x = -4 + 8x + -1x

Combine like terms: 8x + -1x = 7x
1 + -4x = -4 + 7x

Solving
1 + -4x = -4 + 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.
1 + -4x + -7x = -4 + 7x + -7x

Combine like terms: -4x + -7x = -11x
1 + -11x = -4 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -11x = -4 + 0
1 + -11x = -4

Add '-1' to each side of the equation.
1 + -1 + -11x = -4 + -1

Combine like terms: 1 + -1 = 0
0 + -11x = -4 + -1
-11x = -4 + -1

Combine like terms: -4 + -1 = -5
-11x = -5

Divide each side by '-11'.
x = 0.4545454545

Simplifying
x = 0.4545454545

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