3+2(x+4)=-3(x-5)+1

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Solution for 3+2(x+4)=-3(x-5)+1 equation: 


Simplifying
3 + 2(x + 4) = -3(x + -5) + 1

Reorder the terms:
3 + 2(4 + x) = -3(x + -5) + 1
3 + (4 * 2 + x * 2) = -3(x + -5) + 1
3 + (8 + 2x) = -3(x + -5) + 1

Combine like terms: 3 + 8 = 11
11 + 2x = -3(x + -5) + 1

Reorder the terms:
11 + 2x = -3(-5 + x) + 1
11 + 2x = (-5 * -3 + x * -3) + 1
11 + 2x = (15 + -3x) + 1

Reorder the terms:
11 + 2x = 15 + 1 + -3x

Combine like terms: 15 + 1 = 16
11 + 2x = 16 + -3x

Solving
11 + 2x = 16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
11 + 2x + 3x = 16 + -3x + 3x

Combine like terms: 2x + 3x = 5x
11 + 5x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + 5x = 16 + 0
11 + 5x = 16

Add '-11' to each side of the equation.
11 + -11 + 5x = 16 + -11

Combine like terms: 11 + -11 = 0
0 + 5x = 16 + -11
5x = 16 + -11

Combine like terms: 16 + -11 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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