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

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Solution for 6-3(x+1)=2+3(2x+3) equation:


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

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

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

Reorder the terms:
3 + -3x = 2 + 3(3 + 2x)
3 + -3x = 2 + (3 * 3 + 2x * 3)
3 + -3x = 2 + (9 + 6x)

Combine like terms: 2 + 9 = 11
3 + -3x = 11 + 6x

Solving
3 + -3x = 11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + -3x + -6x = 11 + 6x + -6x

Combine like terms: -3x + -6x = -9x
3 + -9x = 11 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -9x = 11 + 0
3 + -9x = 11

Add '-3' to each side of the equation.
3 + -3 + -9x = 11 + -3

Combine like terms: 3 + -3 = 0
0 + -9x = 11 + -3
-9x = 11 + -3

Combine like terms: 11 + -3 = 8
-9x = 8

Divide each side by '-9'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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