7(4x+12)=6(-9x-5)

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Solution for 7(4x+12)=6(-9x-5) equation:


Simplifying
7(4x + 12) = 6(-9x + -5)

Reorder the terms:
7(12 + 4x) = 6(-9x + -5)
(12 * 7 + 4x * 7) = 6(-9x + -5)
(84 + 28x) = 6(-9x + -5)

Reorder the terms:
84 + 28x = 6(-5 + -9x)
84 + 28x = (-5 * 6 + -9x * 6)
84 + 28x = (-30 + -54x)

Solving
84 + 28x = -30 + -54x

Solving for variable 'x'.

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

Add '54x' to each side of the equation.
84 + 28x + 54x = -30 + -54x + 54x

Combine like terms: 28x + 54x = 82x
84 + 82x = -30 + -54x + 54x

Combine like terms: -54x + 54x = 0
84 + 82x = -30 + 0
84 + 82x = -30

Add '-84' to each side of the equation.
84 + -84 + 82x = -30 + -84

Combine like terms: 84 + -84 = 0
0 + 82x = -30 + -84
82x = -30 + -84

Combine like terms: -30 + -84 = -114
82x = -114

Divide each side by '82'.
x = -1.390243902

Simplifying
x = -1.390243902

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