3(7x+6)=5(4x+9)-64

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Solution for 3(7x+6)=5(4x+9)-64 equation: 


Simplifying
3(7x + 6) = 5(4x + 9) + -64

Reorder the terms:
3(6 + 7x) = 5(4x + 9) + -64
(6 * 3 + 7x * 3) = 5(4x + 9) + -64
(18 + 21x) = 5(4x + 9) + -64

Reorder the terms:
18 + 21x = 5(9 + 4x) + -64
18 + 21x = (9 * 5 + 4x * 5) + -64
18 + 21x = (45 + 20x) + -64

Reorder the terms:
18 + 21x = 45 + -64 + 20x

Combine like terms: 45 + -64 = -19
18 + 21x = -19 + 20x

Solving
18 + 21x = -19 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
18 + 21x + -20x = -19 + 20x + -20x

Combine like terms: 21x + -20x = 1x
18 + 1x = -19 + 20x + -20x

Combine like terms: 20x + -20x = 0
18 + 1x = -19 + 0
18 + 1x = -19

Add '-18' to each side of the equation.
18 + -18 + 1x = -19 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = -19 + -18
1x = -19 + -18

Combine like terms: -19 + -18 = -37
1x = -37

Divide each side by '1'.
x = -37

Simplifying
x = -37

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