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

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


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

Reorder the terms:
4(2 + x) = 6(x + -1) + -6
(2 * 4 + x * 4) = 6(x + -1) + -6
(8 + 4x) = 6(x + -1) + -6

Reorder the terms:
8 + 4x = 6(-1 + x) + -6
8 + 4x = (-1 * 6 + x * 6) + -6
8 + 4x = (-6 + 6x) + -6

Reorder the terms:
8 + 4x = -6 + -6 + 6x

Combine like terms: -6 + -6 = -12
8 + 4x = -12 + 6x

Solving
8 + 4x = -12 + 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.
8 + 4x + -6x = -12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
8 + -2x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -2x = -12 + 0
8 + -2x = -12

Add '-8' to each side of the equation.
8 + -8 + -2x = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -12 + -8
-2x = -12 + -8

Combine like terms: -12 + -8 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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