3x+(6x-2)=x-(2x+3)

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Solution for 3x+(6x-2)=x-(2x+3) equation:


Simplifying
3x + (6x + -2) = x + -1(2x + 3)

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

Remove parenthesis around (-2 + 6x)
3x + -2 + 6x = x + -1(2x + 3)

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

Combine like terms: 3x + 6x = 9x
-2 + 9x = x + -1(2x + 3)

Reorder the terms:
-2 + 9x = x + -1(3 + 2x)
-2 + 9x = x + (3 * -1 + 2x * -1)
-2 + 9x = x + (-3 + -2x)

Reorder the terms:
-2 + 9x = -3 + x + -2x

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

Solving
-2 + 9x = -3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 9x + x = -3 + -1x + x

Combine like terms: 9x + x = 10x
-2 + 10x = -3 + -1x + x

Combine like terms: -1x + x = 0
-2 + 10x = -3 + 0
-2 + 10x = -3

Add '2' to each side of the equation.
-2 + 2 + 10x = -3 + 2

Combine like terms: -2 + 2 = 0
0 + 10x = -3 + 2
10x = -3 + 2

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

Divide each side by '10'.
x = -0.1

Simplifying
x = -0.1

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