-4(x-9)=42-x

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Solution for -4(x-9)=42-x equation: 


Simplifying
-4(x + -9) = 42 + -1x

Reorder the terms:
-4(-9 + x) = 42 + -1x
(-9 * -4 + x * -4) = 42 + -1x
(36 + -4x) = 42 + -1x

Solving
36 + -4x = 42 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
36 + -4x + x = 42 + -1x + x

Combine like terms: -4x + x = -3x
36 + -3x = 42 + -1x + x

Combine like terms: -1x + x = 0
36 + -3x = 42 + 0
36 + -3x = 42

Add '-36' to each side of the equation.
36 + -36 + -3x = 42 + -36

Combine like terms: 36 + -36 = 0
0 + -3x = 42 + -36
-3x = 42 + -36

Combine like terms: 42 + -36 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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