42-2(7-3x)+3x=5-8x

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Solution for 42-2(7-3x)+3x=5-8x equation:


Simplifying
42 + -2(7 + -3x) + 3x = 5 + -8x
42 + (7 * -2 + -3x * -2) + 3x = 5 + -8x
42 + (-14 + 6x) + 3x = 5 + -8x

Combine like terms: 42 + -14 = 28
28 + 6x + 3x = 5 + -8x

Combine like terms: 6x + 3x = 9x
28 + 9x = 5 + -8x

Solving
28 + 9x = 5 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
28 + 9x + 8x = 5 + -8x + 8x

Combine like terms: 9x + 8x = 17x
28 + 17x = 5 + -8x + 8x

Combine like terms: -8x + 8x = 0
28 + 17x = 5 + 0
28 + 17x = 5

Add '-28' to each side of the equation.
28 + -28 + 17x = 5 + -28

Combine like terms: 28 + -28 = 0
0 + 17x = 5 + -28
17x = 5 + -28

Combine like terms: 5 + -28 = -23
17x = -23

Divide each side by '17'.
x = -1.352941176

Simplifying
x = -1.352941176

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