4(5n+7)-3x=3(4x-9)

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


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

Reorder the terms:
4(7 + 5n) + -3x = 3(4x + -9)
(7 * 4 + 5n * 4) + -3x = 3(4x + -9)
(28 + 20n) + -3x = 3(4x + -9)

Reorder the terms:
28 + 20n + -3x = 3(-9 + 4x)
28 + 20n + -3x = (-9 * 3 + 4x * 3)
28 + 20n + -3x = (-27 + 12x)

Solving
28 + 20n + -3x = -27 + 12x

Solving for variable 'n'.

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

Add '-28' to each side of the equation.
28 + 20n + -28 + -3x = -27 + -28 + 12x

Reorder the terms:
28 + -28 + 20n + -3x = -27 + -28 + 12x

Combine like terms: 28 + -28 = 0
0 + 20n + -3x = -27 + -28 + 12x
20n + -3x = -27 + -28 + 12x

Combine like terms: -27 + -28 = -55
20n + -3x = -55 + 12x

Add '3x' to each side of the equation.
20n + -3x + 3x = -55 + 12x + 3x

Combine like terms: -3x + 3x = 0
20n + 0 = -55 + 12x + 3x
20n = -55 + 12x + 3x

Combine like terms: 12x + 3x = 15x
20n = -55 + 15x

Divide each side by '20'.
n = -2.75 + 0.75x

Simplifying
n = -2.75 + 0.75x

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