38=-2(21-x)+4(x-4)

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Solution for 38=-2(21-x)+4(x-4) equation:


Simplifying
38 = -2(21 + -1x) + 4(x + -4)
38 = (21 * -2 + -1x * -2) + 4(x + -4)
38 = (-42 + 2x) + 4(x + -4)

Reorder the terms:
38 = -42 + 2x + 4(-4 + x)
38 = -42 + 2x + (-4 * 4 + x * 4)
38 = -42 + 2x + (-16 + 4x)

Reorder the terms:
38 = -42 + -16 + 2x + 4x

Combine like terms: -42 + -16 = -58
38 = -58 + 2x + 4x

Combine like terms: 2x + 4x = 6x
38 = -58 + 6x

Solving
38 = -58 + 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.
38 + -6x = -58 + 6x + -6x

Combine like terms: 6x + -6x = 0
38 + -6x = -58 + 0
38 + -6x = -58

Add '-38' to each side of the equation.
38 + -38 + -6x = -58 + -38

Combine like terms: 38 + -38 = 0
0 + -6x = -58 + -38
-6x = -58 + -38

Combine like terms: -58 + -38 = -96
-6x = -96

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

Simplifying
x = 16

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