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

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


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

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

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

Reorder the terms:
4 + 4x = -6 + -2 + 6x

Combine like terms: -6 + -2 = -8
4 + 4x = -8 + 6x

Solving
4 + 4x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 4x + -6x = -8 + 6x + -6x

Combine like terms: 4x + -6x = -2x
4 + -2x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -2x = -8 + 0
4 + -2x = -8

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

Combine like terms: 4 + -4 = 0
0 + -2x = -8 + -4
-2x = -8 + -4

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

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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