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

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


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

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

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

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

Combine like terms: 6 + -15 = -9
-9 + 3x + -5x = 1

Combine like terms: 3x + -5x = -2x
-9 + -2x = 1

Solving
-9 + -2x = 1

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + -2x = 1 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = 1 + 9
-2x = 1 + 9

Combine like terms: 1 + 9 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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