x+3=4[3x-6]

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


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

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

Reorder the terms:
3 + x = 4[-6 + 3x]
3 + x = [-6 * 4 + 3x * 4]
3 + x = [-24 + 12x]

Solving
3 + x = -24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
3 + x + -12x = -24 + 12x + -12x

Combine like terms: x + -12x = -11x
3 + -11x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
3 + -11x = -24 + 0
3 + -11x = -24

Add '-3' to each side of the equation.
3 + -3 + -11x = -24 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = -24 + -3
-11x = -24 + -3

Combine like terms: -24 + -3 = -27
-11x = -27

Divide each side by '-11'.
x = 2.454545455

Simplifying
x = 2.454545455

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