4(9+x)=3(x-6)

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Solution for 4(9+x)=3(x-6) equation: 


Simplifying
4(9 + x) = 3(x + -6)
(9 * 4 + x * 4) = 3(x + -6)
(36 + 4x) = 3(x + -6)

Reorder the terms:
36 + 4x = 3(-6 + x)
36 + 4x = (-6 * 3 + x * 3)
36 + 4x = (-18 + 3x)

Solving
36 + 4x = -18 + 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.
36 + 4x + -3x = -18 + 3x + -3x

Combine like terms: 4x + -3x = 1x
36 + 1x = -18 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + 1x = -18 + 0
36 + 1x = -18

Add '-36' to each side of the equation.
36 + -36 + 1x = -18 + -36

Combine like terms: 36 + -36 = 0
0 + 1x = -18 + -36
1x = -18 + -36

Combine like terms: -18 + -36 = -54
1x = -54

Divide each side by '1'.
x = -54

Simplifying
x = -54

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