11+7(3x+-3)=2[3(5x+3)+4]

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Solution for 11+7(3x+-3)=2[3(5x+3)+4] equation:


Simplifying
11 + 7(3x + -3) = 2[3(5x + 3) + 4]

Reorder the terms:
11 + 7(-3 + 3x) = 2[3(5x + 3) + 4]
11 + (-3 * 7 + 3x * 7) = 2[3(5x + 3) + 4]
11 + (-21 + 21x) = 2[3(5x + 3) + 4]

Combine like terms: 11 + -21 = -10
-10 + 21x = 2[3(5x + 3) + 4]

Reorder the terms:
-10 + 21x = 2[3(3 + 5x) + 4]
-10 + 21x = 2[(3 * 3 + 5x * 3) + 4]
-10 + 21x = 2[(9 + 15x) + 4]

Reorder the terms:
-10 + 21x = 2[9 + 4 + 15x]

Combine like terms: 9 + 4 = 13
-10 + 21x = 2[13 + 15x]
-10 + 21x = [13 * 2 + 15x * 2]
-10 + 21x = [26 + 30x]

Solving
-10 + 21x = 26 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-10 + 21x + -30x = 26 + 30x + -30x

Combine like terms: 21x + -30x = -9x
-10 + -9x = 26 + 30x + -30x

Combine like terms: 30x + -30x = 0
-10 + -9x = 26 + 0
-10 + -9x = 26

Add '10' to each side of the equation.
-10 + 10 + -9x = 26 + 10

Combine like terms: -10 + 10 = 0
0 + -9x = 26 + 10
-9x = 26 + 10

Combine like terms: 26 + 10 = 36
-9x = 36

Divide each side by '-9'.
x = -4

Simplifying
x = -4

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