27(5x-2)-36(4x+1)=12(x+3)

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Solution for 27(5x-2)-36(4x+1)=12(x+3) equation:


Simplifying
27(5x + -2) + -36(4x + 1) = 12(x + 3)

Reorder the terms:
27(-2 + 5x) + -36(4x + 1) = 12(x + 3)
(-2 * 27 + 5x * 27) + -36(4x + 1) = 12(x + 3)
(-54 + 135x) + -36(4x + 1) = 12(x + 3)

Reorder the terms:
-54 + 135x + -36(1 + 4x) = 12(x + 3)
-54 + 135x + (1 * -36 + 4x * -36) = 12(x + 3)
-54 + 135x + (-36 + -144x) = 12(x + 3)

Reorder the terms:
-54 + -36 + 135x + -144x = 12(x + 3)

Combine like terms: -54 + -36 = -90
-90 + 135x + -144x = 12(x + 3)

Combine like terms: 135x + -144x = -9x
-90 + -9x = 12(x + 3)

Reorder the terms:
-90 + -9x = 12(3 + x)
-90 + -9x = (3 * 12 + x * 12)
-90 + -9x = (36 + 12x)

Solving
-90 + -9x = 36 + 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.
-90 + -9x + -12x = 36 + 12x + -12x

Combine like terms: -9x + -12x = -21x
-90 + -21x = 36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-90 + -21x = 36 + 0
-90 + -21x = 36

Add '90' to each side of the equation.
-90 + 90 + -21x = 36 + 90

Combine like terms: -90 + 90 = 0
0 + -21x = 36 + 90
-21x = 36 + 90

Combine like terms: 36 + 90 = 126
-21x = 126

Divide each side by '-21'.
x = -6

Simplifying
x = -6

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