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

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


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

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

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

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

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

Combine like terms: 2 + -6 = -4
-1 + 3x = -4 + -3x

Solving
-1 + 3x = -4 + -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.
-1 + 3x + 3x = -4 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-1 + 6x = -4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-1 + 6x = -4 + 0
-1 + 6x = -4

Add '1' to each side of the equation.
-1 + 1 + 6x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = -4 + 1
6x = -4 + 1

Combine like terms: -4 + 1 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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