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

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


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

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

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

Combine like terms: -3x + -1x = -4x
-2 + -4x = 5 + -2(x + 3)

Reorder the terms:
-2 + -4x = 5 + -2(3 + x)
-2 + -4x = 5 + (3 * -2 + x * -2)
-2 + -4x = 5 + (-6 + -2x)

Combine like terms: 5 + -6 = -1
-2 + -4x = -1 + -2x

Solving
-2 + -4x = -1 + -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.
-2 + -4x + 2x = -1 + -2x + 2x

Combine like terms: -4x + 2x = -2x
-2 + -2x = -1 + -2x + 2x

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

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

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

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

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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