3(5-2x)=-(x+1)+41

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Solution for 3(5-2x)=-(x+1)+41 equation: 


Simplifying
3(5 + -2x) = -1(x + 1) + 41
(5 * 3 + -2x * 3) = -1(x + 1) + 41
(15 + -6x) = -1(x + 1) + 41

Reorder the terms:
15 + -6x = -1(1 + x) + 41
15 + -6x = (1 * -1 + x * -1) + 41
15 + -6x = (-1 + -1x) + 41

Reorder the terms:
15 + -6x = -1 + 41 + -1x

Combine like terms: -1 + 41 = 40
15 + -6x = 40 + -1x

Solving
15 + -6x = 40 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
15 + -6x + x = 40 + -1x + x

Combine like terms: -6x + x = -5x
15 + -5x = 40 + -1x + x

Combine like terms: -1x + x = 0
15 + -5x = 40 + 0
15 + -5x = 40

Add '-15' to each side of the equation.
15 + -15 + -5x = 40 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = 40 + -15
-5x = 40 + -15

Combine like terms: 40 + -15 = 25
-5x = 25

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

Simplifying
x = -5

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