3(x+3)=2[11-2(3-x)+7]

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Solution for 3(x+3)=2[11-2(3-x)+7] equation:


Simplifying
3(x + 3) = 2[11 + -2(3 + -1x) + 7]

Reorder the terms:
3(3 + x) = 2[11 + -2(3 + -1x) + 7]
(3 * 3 + x * 3) = 2[11 + -2(3 + -1x) + 7]
(9 + 3x) = 2[11 + -2(3 + -1x) + 7]
9 + 3x = 2[11 + (3 * -2 + -1x * -2) + 7]
9 + 3x = 2[11 + (-6 + 2x) + 7]

Reorder the terms:
9 + 3x = 2[11 + -6 + 7 + 2x]

Combine like terms: 11 + -6 = 5
9 + 3x = 2[5 + 7 + 2x]

Combine like terms: 5 + 7 = 12
9 + 3x = 2[12 + 2x]
9 + 3x = [12 * 2 + 2x * 2]
9 + 3x = [24 + 4x]

Solving
9 + 3x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 3x + -4x = 24 + 4x + -4x

Combine like terms: 3x + -4x = -1x
9 + -1x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -1x = 24 + 0
9 + -1x = 24

Add '-9' to each side of the equation.
9 + -9 + -1x = 24 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 24 + -9
-1x = 24 + -9

Combine like terms: 24 + -9 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

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