14+6x=2(-x+4)-42

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Solution for 14+6x=2(-x+4)-42 equation:


Simplifying
14 + 6x = 2(-1x + 4) + -42

Reorder the terms:
14 + 6x = 2(4 + -1x) + -42
14 + 6x = (4 * 2 + -1x * 2) + -42
14 + 6x = (8 + -2x) + -42

Reorder the terms:
14 + 6x = 8 + -42 + -2x

Combine like terms: 8 + -42 = -34
14 + 6x = -34 + -2x

Solving
14 + 6x = -34 + -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.
14 + 6x + 2x = -34 + -2x + 2x

Combine like terms: 6x + 2x = 8x
14 + 8x = -34 + -2x + 2x

Combine like terms: -2x + 2x = 0
14 + 8x = -34 + 0
14 + 8x = -34

Add '-14' to each side of the equation.
14 + -14 + 8x = -34 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = -34 + -14
8x = -34 + -14

Combine like terms: -34 + -14 = -48
8x = -48

Divide each side by '8'.
x = -6

Simplifying
x = -6

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