(3x-2)+1=-5x-10

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Solution for (3x-2)+1=-5x-10 equation:


Simplifying
(3x + -2) + 1 = -5x + -10

Reorder the terms:
(-2 + 3x) + 1 = -5x + -10

Remove parenthesis around (-2 + 3x)
-2 + 3x + 1 = -5x + -10

Reorder the terms:
-2 + 1 + 3x = -5x + -10

Combine like terms: -2 + 1 = -1
-1 + 3x = -5x + -10

Reorder the terms:
-1 + 3x = -10 + -5x

Solving
-1 + 3x = -10 + -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.
-1 + 3x + 5x = -10 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-1 + 8x = -10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-1 + 8x = -10 + 0
-1 + 8x = -10

Add '1' to each side of the equation.
-1 + 1 + 8x = -10 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = -10 + 1
8x = -10 + 1

Combine like terms: -10 + 1 = -9
8x = -9

Divide each side by '8'.
x = -1.125

Simplifying
x = -1.125

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