42=-2(21-x)+4(x-3)

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Solution for 42=-2(21-x)+4(x-3) equation:


Simplifying
42 = -2(21 + -1x) + 4(x + -3)
42 = (21 * -2 + -1x * -2) + 4(x + -3)
42 = (-42 + 2x) + 4(x + -3)

Reorder the terms:
42 = -42 + 2x + 4(-3 + x)
42 = -42 + 2x + (-3 * 4 + x * 4)
42 = -42 + 2x + (-12 + 4x)

Reorder the terms:
42 = -42 + -12 + 2x + 4x

Combine like terms: -42 + -12 = -54
42 = -54 + 2x + 4x

Combine like terms: 2x + 4x = 6x
42 = -54 + 6x

Solving
42 = -54 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
42 + -6x = -54 + 6x + -6x

Combine like terms: 6x + -6x = 0
42 + -6x = -54 + 0
42 + -6x = -54

Add '-42' to each side of the equation.
42 + -42 + -6x = -54 + -42

Combine like terms: 42 + -42 = 0
0 + -6x = -54 + -42
-6x = -54 + -42

Combine like terms: -54 + -42 = -96
-6x = -96

Divide each side by '-6'.
x = 16

Simplifying
x = 16

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