41=-2(21-x)+3(x-4)

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Solution for 41=-2(21-x)+3(x-4) equation:


Simplifying
41 = -2(21 + -1x) + 3(x + -4)
41 = (21 * -2 + -1x * -2) + 3(x + -4)
41 = (-42 + 2x) + 3(x + -4)

Reorder the terms:
41 = -42 + 2x + 3(-4 + x)
41 = -42 + 2x + (-4 * 3 + x * 3)
41 = -42 + 2x + (-12 + 3x)

Reorder the terms:
41 = -42 + -12 + 2x + 3x

Combine like terms: -42 + -12 = -54
41 = -54 + 2x + 3x

Combine like terms: 2x + 3x = 5x
41 = -54 + 5x

Solving
41 = -54 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
41 + -5x = -54 + 5x + -5x

Combine like terms: 5x + -5x = 0
41 + -5x = -54 + 0
41 + -5x = -54

Add '-41' to each side of the equation.
41 + -41 + -5x = -54 + -41

Combine like terms: 41 + -41 = 0
0 + -5x = -54 + -41
-5x = -54 + -41

Combine like terms: -54 + -41 = -95
-5x = -95

Divide each side by '-5'.
x = 19

Simplifying
x = 19

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