36=-3(22-x)+3(x-4)

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Solution for 36=-3(22-x)+3(x-4) equation:


Simplifying
36 = -3(22 + -1x) + 3(x + -4)
36 = (22 * -3 + -1x * -3) + 3(x + -4)
36 = (-66 + 3x) + 3(x + -4)

Reorder the terms:
36 = -66 + 3x + 3(-4 + x)
36 = -66 + 3x + (-4 * 3 + x * 3)
36 = -66 + 3x + (-12 + 3x)

Reorder the terms:
36 = -66 + -12 + 3x + 3x

Combine like terms: -66 + -12 = -78
36 = -78 + 3x + 3x

Combine like terms: 3x + 3x = 6x
36 = -78 + 6x

Solving
36 = -78 + 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.
36 + -6x = -78 + 6x + -6x

Combine like terms: 6x + -6x = 0
36 + -6x = -78 + 0
36 + -6x = -78

Add '-36' to each side of the equation.
36 + -36 + -6x = -78 + -36

Combine like terms: 36 + -36 = 0
0 + -6x = -78 + -36
-6x = -78 + -36

Combine like terms: -78 + -36 = -114
-6x = -114

Divide each side by '-6'.
x = 19

Simplifying
x = 19

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