3(5+x)+6=-2(3-x)-5

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Solution for 3(5+x)+6=-2(3-x)-5 equation: 


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

Reorder the terms:
15 + 6 + 3x = -2(3 + -1x) + -5

Combine like terms: 15 + 6 = 21
21 + 3x = -2(3 + -1x) + -5
21 + 3x = (3 * -2 + -1x * -2) + -5
21 + 3x = (-6 + 2x) + -5

Reorder the terms:
21 + 3x = -6 + -5 + 2x

Combine like terms: -6 + -5 = -11
21 + 3x = -11 + 2x

Solving
21 + 3x = -11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
21 + 3x + -2x = -11 + 2x + -2x

Combine like terms: 3x + -2x = 1x
21 + 1x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + 1x = -11 + 0
21 + 1x = -11

Add '-21' to each side of the equation.
21 + -21 + 1x = -11 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = -11 + -21
1x = -11 + -21

Combine like terms: -11 + -21 = -32
1x = -32

Divide each side by '1'.
x = -32

Simplifying
x = -32

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