-3[-3x+5-4(x+1)]=3x+6

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Solution for -3[-3x+5-4(x+1)]=3x+6 equation:


Simplifying
-3[-3x + 5 + -4(x + 1)] = 3x + 6

Reorder the terms:
-3[-3x + 5 + -4(1 + x)] = 3x + 6
-3[-3x + 5 + (1 * -4 + x * -4)] = 3x + 6
-3[-3x + 5 + (-4 + -4x)] = 3x + 6

Reorder the terms:
-3[5 + -4 + -3x + -4x] = 3x + 6

Combine like terms: 5 + -4 = 1
-3[1 + -3x + -4x] = 3x + 6

Combine like terms: -3x + -4x = -7x
-3[1 + -7x] = 3x + 6
[1 * -3 + -7x * -3] = 3x + 6
[-3 + 21x] = 3x + 6

Reorder the terms:
-3 + 21x = 6 + 3x

Solving
-3 + 21x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + 21x + -3x = 6 + 3x + -3x

Combine like terms: 21x + -3x = 18x
-3 + 18x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + 18x = 6 + 0
-3 + 18x = 6

Add '3' to each side of the equation.
-3 + 3 + 18x = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 18x = 6 + 3
18x = 6 + 3

Combine like terms: 6 + 3 = 9
18x = 9

Divide each side by '18'.
x = 0.5

Simplifying
x = 0.5

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