42-3(5-2x)=(x+8)+19

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Solution for 42-3(5-2x)=(x+8)+19 equation:


Simplifying
42 + -3(5 + -2x) = (x + 8) + 19
42 + (5 * -3 + -2x * -3) = (x + 8) + 19
42 + (-15 + 6x) = (x + 8) + 19

Combine like terms: 42 + -15 = 27
27 + 6x = (x + 8) + 19

Reorder the terms:
27 + 6x = (8 + x) + 19

Remove parenthesis around (8 + x)
27 + 6x = 8 + x + 19

Reorder the terms:
27 + 6x = 8 + 19 + x

Combine like terms: 8 + 19 = 27
27 + 6x = 27 + x

Add '-27' to each side of the equation.
27 + -27 + 6x = 27 + -27 + x

Combine like terms: 27 + -27 = 0
0 + 6x = 27 + -27 + x
6x = 27 + -27 + x

Combine like terms: 27 + -27 = 0
6x = 0 + x
6x = x

Solving
6x = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6x + -1x = x + -1x

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

Combine like terms: x + -1x = 0
5x = 0

Divide each side by '5'.
x = 0

Simplifying
x = 0

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