5x-6(x-4)=42

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Solution for 5x-6(x-4)=42 equation:


Simplifying
5x + -6(x + -4) = 42

Reorder the terms:
5x + -6(-4 + x) = 42
5x + (-4 * -6 + x * -6) = 42
5x + (24 + -6x) = 42

Reorder the terms:
24 + 5x + -6x = 42

Combine like terms: 5x + -6x = -1x
24 + -1x = 42

Solving
24 + -1x = 42

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 42 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 42 + -24
-1x = 42 + -24

Combine like terms: 42 + -24 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18

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