4-3(3x+6)=2(6x+6)-1

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Solution for 4-3(3x+6)=2(6x+6)-1 equation:


Simplifying
4 + -3(3x + 6) = 2(6x + 6) + -1

Reorder the terms:
4 + -3(6 + 3x) = 2(6x + 6) + -1
4 + (6 * -3 + 3x * -3) = 2(6x + 6) + -1
4 + (-18 + -9x) = 2(6x + 6) + -1

Combine like terms: 4 + -18 = -14
-14 + -9x = 2(6x + 6) + -1

Reorder the terms:
-14 + -9x = 2(6 + 6x) + -1
-14 + -9x = (6 * 2 + 6x * 2) + -1
-14 + -9x = (12 + 12x) + -1

Reorder the terms:
-14 + -9x = 12 + -1 + 12x

Combine like terms: 12 + -1 = 11
-14 + -9x = 11 + 12x

Solving
-14 + -9x = 11 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-14 + -9x + -12x = 11 + 12x + -12x

Combine like terms: -9x + -12x = -21x
-14 + -21x = 11 + 12x + -12x

Combine like terms: 12x + -12x = 0
-14 + -21x = 11 + 0
-14 + -21x = 11

Add '14' to each side of the equation.
-14 + 14 + -21x = 11 + 14

Combine like terms: -14 + 14 = 0
0 + -21x = 11 + 14
-21x = 11 + 14

Combine like terms: 11 + 14 = 25
-21x = 25

Divide each side by '-21'.
x = -1.19047619

Simplifying
x = -1.19047619

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