4x+2=3[x-6]+8

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Solution for 4x+2=3[x-6]+8 equation: 


Simplifying
4x + 2 = 3[x + -6] + 8

Reorder the terms:
2 + 4x = 3[x + -6] + 8

Reorder the terms:
2 + 4x = 3[-6 + x] + 8
2 + 4x = [-6 * 3 + x * 3] + 8
2 + 4x = [-18 + 3x] + 8

Reorder the terms:
2 + 4x = -18 + 8 + 3x

Combine like terms: -18 + 8 = -10
2 + 4x = -10 + 3x

Solving
2 + 4x = -10 + 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.
2 + 4x + -3x = -10 + 3x + -3x

Combine like terms: 4x + -3x = 1x
2 + 1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 1x = -10 + 0
2 + 1x = -10

Add '-2' to each side of the equation.
2 + -2 + 1x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -10 + -2
1x = -10 + -2

Combine like terms: -10 + -2 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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