8x-(4x+6)=2x-42

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Solution for 8x-(4x+6)=2x-42 equation:


Simplifying
8x + -1(4x + 6) = 2x + -42

Reorder the terms:
8x + -1(6 + 4x) = 2x + -42
8x + (6 * -1 + 4x * -1) = 2x + -42
8x + (-6 + -4x) = 2x + -42

Reorder the terms:
-6 + 8x + -4x = 2x + -42

Combine like terms: 8x + -4x = 4x
-6 + 4x = 2x + -42

Reorder the terms:
-6 + 4x = -42 + 2x

Solving
-6 + 4x = -42 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 4x + -2x = -42 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-6 + 2x = -42 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 2x = -42 + 0
-6 + 2x = -42

Add '6' to each side of the equation.
-6 + 6 + 2x = -42 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -42 + 6
2x = -42 + 6

Combine like terms: -42 + 6 = -36
2x = -36

Divide each side by '2'.
x = -18

Simplifying
x = -18

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