3x+4(5-3x)=2-[9-3(7x-4)]

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Solution for 3x+4(5-3x)=2-[9-3(7x-4)] equation:


Simplifying
3x + 4(5 + -3x) = 2 + -1[9 + -3(7x + -4)]
3x + (5 * 4 + -3x * 4) = 2 + -1[9 + -3(7x + -4)]
3x + (20 + -12x) = 2 + -1[9 + -3(7x + -4)]

Reorder the terms:
20 + 3x + -12x = 2 + -1[9 + -3(7x + -4)]

Combine like terms: 3x + -12x = -9x
20 + -9x = 2 + -1[9 + -3(7x + -4)]

Reorder the terms:
20 + -9x = 2 + -1[9 + -3(-4 + 7x)]
20 + -9x = 2 + -1[9 + (-4 * -3 + 7x * -3)]
20 + -9x = 2 + -1[9 + (12 + -21x)]

Combine like terms: 9 + 12 = 21
20 + -9x = 2 + -1[21 + -21x]
20 + -9x = 2 + [21 * -1 + -21x * -1]
20 + -9x = 2 + [-21 + 21x]

Combine like terms: 2 + -21 = -19
20 + -9x = -19 + 21x

Solving
20 + -9x = -19 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
20 + -9x + -21x = -19 + 21x + -21x

Combine like terms: -9x + -21x = -30x
20 + -30x = -19 + 21x + -21x

Combine like terms: 21x + -21x = 0
20 + -30x = -19 + 0
20 + -30x = -19

Add '-20' to each side of the equation.
20 + -20 + -30x = -19 + -20

Combine like terms: 20 + -20 = 0
0 + -30x = -19 + -20
-30x = -19 + -20

Combine like terms: -19 + -20 = -39
-30x = -39

Divide each side by '-30'.
x = 1.3

Simplifying
x = 1.3

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