3-[2x+(6x+3)]=2x+9

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Solution for 3-[2x+(6x+3)]=2x+9 equation:


Simplifying
3 + -1[2x + (6x + 3)] = 2x + 9

Reorder the terms:
3 + -1[2x + (3 + 6x)] = 2x + 9

Remove parenthesis around (3 + 6x)
3 + -1[2x + 3 + 6x] = 2x + 9

Reorder the terms:
3 + -1[3 + 2x + 6x] = 2x + 9

Combine like terms: 2x + 6x = 8x
3 + -1[3 + 8x] = 2x + 9
3 + [3 * -1 + 8x * -1] = 2x + 9
3 + [-3 + -8x] = 2x + 9

Combine like terms: 3 + -3 = 0
0 + -8x = 2x + 9
-8x = 2x + 9

Reorder the terms:
-8x = 9 + 2x

Solving
-8x = 9 + 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.
-8x + -2x = 9 + 2x + -2x

Combine like terms: -8x + -2x = -10x
-10x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10x = 9 + 0
-10x = 9

Divide each side by '-10'.
x = -0.9

Simplifying
x = -0.9

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