6(3x+5)=7(x-2)-20

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Solution for 6(3x+5)=7(x-2)-20 equation: 


Simplifying
6(3x + 5) = 7(x + -2) + -20

Reorder the terms:
6(5 + 3x) = 7(x + -2) + -20
(5 * 6 + 3x * 6) = 7(x + -2) + -20
(30 + 18x) = 7(x + -2) + -20

Reorder the terms:
30 + 18x = 7(-2 + x) + -20
30 + 18x = (-2 * 7 + x * 7) + -20
30 + 18x = (-14 + 7x) + -20

Reorder the terms:
30 + 18x = -14 + -20 + 7x

Combine like terms: -14 + -20 = -34
30 + 18x = -34 + 7x

Solving
30 + 18x = -34 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
30 + 18x + -7x = -34 + 7x + -7x

Combine like terms: 18x + -7x = 11x
30 + 11x = -34 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + 11x = -34 + 0
30 + 11x = -34

Add '-30' to each side of the equation.
30 + -30 + 11x = -34 + -30

Combine like terms: 30 + -30 = 0
0 + 11x = -34 + -30
11x = -34 + -30

Combine like terms: -34 + -30 = -64
11x = -64

Divide each side by '11'.
x = -5.818181818

Simplifying
x = -5.818181818

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