8(3x+8)-6(-3x-7)=-20

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Solution for 8(3x+8)-6(-3x-7)=-20 equation:


Simplifying
8(3x + 8) + -6(-3x + -7) = -20

Reorder the terms:
8(8 + 3x) + -6(-3x + -7) = -20
(8 * 8 + 3x * 8) + -6(-3x + -7) = -20
(64 + 24x) + -6(-3x + -7) = -20

Reorder the terms:
64 + 24x + -6(-7 + -3x) = -20
64 + 24x + (-7 * -6 + -3x * -6) = -20
64 + 24x + (42 + 18x) = -20

Reorder the terms:
64 + 42 + 24x + 18x = -20

Combine like terms: 64 + 42 = 106
106 + 24x + 18x = -20

Combine like terms: 24x + 18x = 42x
106 + 42x = -20

Solving
106 + 42x = -20

Solving for variable 'x'.

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

Add '-106' to each side of the equation.
106 + -106 + 42x = -20 + -106

Combine like terms: 106 + -106 = 0
0 + 42x = -20 + -106
42x = -20 + -106

Combine like terms: -20 + -106 = -126
42x = -126

Divide each side by '42'.
x = -3

Simplifying
x = -3

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