4(x+1)=6-(4x+2)

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Solution for 4(x+1)=6-(4x+2) equation:


Simplifying
4(x + 1) = 6 + -1(4x + 2)

Reorder the terms:
4(1 + x) = 6 + -1(4x + 2)
(1 * 4 + x * 4) = 6 + -1(4x + 2)
(4 + 4x) = 6 + -1(4x + 2)

Reorder the terms:
4 + 4x = 6 + -1(2 + 4x)
4 + 4x = 6 + (2 * -1 + 4x * -1)
4 + 4x = 6 + (-2 + -4x)

Combine like terms: 6 + -2 = 4
4 + 4x = 4 + -4x

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

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

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

Solving
4x = -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.
4x + 4x = -4x + 4x

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

Combine like terms: -4x + 4x = 0
8x = 0

Divide each side by '8'.
x = 0

Simplifying
x = 0

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