-42=3x-3(6x-11)

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Solution for -42=3x-3(6x-11) equation:


Simplifying
-42 = 3x + -3(6x + -11)

Reorder the terms:
-42 = 3x + -3(-11 + 6x)
-42 = 3x + (-11 * -3 + 6x * -3)
-42 = 3x + (33 + -18x)

Reorder the terms:
-42 = 33 + 3x + -18x

Combine like terms: 3x + -18x = -15x
-42 = 33 + -15x

Solving
-42 = 33 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-42 + 15x = 33 + -15x + 15x

Combine like terms: -15x + 15x = 0
-42 + 15x = 33 + 0
-42 + 15x = 33

Add '42' to each side of the equation.
-42 + 42 + 15x = 33 + 42

Combine like terms: -42 + 42 = 0
0 + 15x = 33 + 42
15x = 33 + 42

Combine like terms: 33 + 42 = 75
15x = 75

Divide each side by '15'.
x = 5

Simplifying
x = 5

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