2[x+4]=3[x-2]

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Solution for 2[x+4]=3[x-2] equation:


Simplifying
2[x + 4] = 3[x + -2]

Reorder the terms:
2[4 + x] = 3[x + -2]
[4 * 2 + x * 2] = 3[x + -2]
[8 + 2x] = 3[x + -2]

Reorder the terms:
8 + 2x = 3[-2 + x]
8 + 2x = [-2 * 3 + x * 3]
8 + 2x = [-6 + 3x]

Solving
8 + 2x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + 2x + -3x = -6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
8 + -1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -1x = -6 + 0
8 + -1x = -6

Add '-8' to each side of the equation.
8 + -8 + -1x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -6 + -8
-1x = -6 + -8

Combine like terms: -6 + -8 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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