3x+2[1-3(x+2)]=2x

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


Simplifying
3x + 2[1 + -3(x + 2)] = 2x

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

Combine like terms: 1 + -6 = -5
3x + 2[-5 + -3x] = 2x
3x + [-5 * 2 + -3x * 2] = 2x
3x + [-10 + -6x] = 2x

Reorder the terms:
-10 + 3x + -6x = 2x

Combine like terms: 3x + -6x = -3x
-10 + -3x = 2x

Solving
-10 + -3x = 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.
-10 + -3x + -2x = 2x + -2x

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

Combine like terms: 2x + -2x = 0
-10 + -5x = 0

Add '10' to each side of the equation.
-10 + 10 + -5x = 0 + 10

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

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

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

Simplifying
x = -2

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