4[x+2]=6[x-1]-2

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Solution for 4[x+2]=6[x-1]-2 equation:


Simplifying
4[x + 2] = 6[x + -1] + -2

Reorder the terms:
4[2 + x] = 6[x + -1] + -2
[2 * 4 + x * 4] = 6[x + -1] + -2
[8 + 4x] = 6[x + -1] + -2

Reorder the terms:
8 + 4x = 6[-1 + x] + -2
8 + 4x = [-1 * 6 + x * 6] + -2
8 + 4x = [-6 + 6x] + -2

Reorder the terms:
8 + 4x = -6 + -2 + 6x

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

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

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

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

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

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

Combine like terms: -8 + -8 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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