4(5x+7)-3x=12x-27

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Solution for 4(5x+7)-3x=12x-27 equation:


Simplifying
4(5x + 7) + -3x = 12x + -27

Reorder the terms:
4(7 + 5x) + -3x = 12x + -27
(7 * 4 + 5x * 4) + -3x = 12x + -27
(28 + 20x) + -3x = 12x + -27

Combine like terms: 20x + -3x = 17x
28 + 17x = 12x + -27

Reorder the terms:
28 + 17x = -27 + 12x

Solving
28 + 17x = -27 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
28 + 17x + -12x = -27 + 12x + -12x

Combine like terms: 17x + -12x = 5x
28 + 5x = -27 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + 5x = -27 + 0
28 + 5x = -27

Add '-28' to each side of the equation.
28 + -28 + 5x = -27 + -28

Combine like terms: 28 + -28 = 0
0 + 5x = -27 + -28
5x = -27 + -28

Combine like terms: -27 + -28 = -55
5x = -55

Divide each side by '5'.
x = -11

Simplifying
x = -11

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