5(y-1)+16(2x+3)=3(2x-7)-x

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Solution for 5(y-1)+16(2x+3)=3(2x-7)-x equation: 


Simplifying
5(y + -1) + 16(2x + 3) = 3(2x + -7) + -1x

Reorder the terms:
5(-1 + y) + 16(2x + 3) = 3(2x + -7) + -1x
(-1 * 5 + y * 5) + 16(2x + 3) = 3(2x + -7) + -1x
(-5 + 5y) + 16(2x + 3) = 3(2x + -7) + -1x

Reorder the terms:
-5 + 5y + 16(3 + 2x) = 3(2x + -7) + -1x
-5 + 5y + (3 * 16 + 2x * 16) = 3(2x + -7) + -1x
-5 + 5y + (48 + 32x) = 3(2x + -7) + -1x

Reorder the terms:
-5 + 48 + 32x + 5y = 3(2x + -7) + -1x

Combine like terms: -5 + 48 = 43
43 + 32x + 5y = 3(2x + -7) + -1x

Reorder the terms:
43 + 32x + 5y = 3(-7 + 2x) + -1x
43 + 32x + 5y = (-7 * 3 + 2x * 3) + -1x
43 + 32x + 5y = (-21 + 6x) + -1x

Combine like terms: 6x + -1x = 5x
43 + 32x + 5y = -21 + 5x

Solving
43 + 32x + 5y = -21 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
43 + 32x + -5x + 5y = -21 + 5x + -5x

Combine like terms: 32x + -5x = 27x
43 + 27x + 5y = -21 + 5x + -5x

Combine like terms: 5x + -5x = 0
43 + 27x + 5y = -21 + 0
43 + 27x + 5y = -21

Add '-43' to each side of the equation.
43 + 27x + -43 + 5y = -21 + -43

Reorder the terms:
43 + -43 + 27x + 5y = -21 + -43

Combine like terms: 43 + -43 = 0
0 + 27x + 5y = -21 + -43
27x + 5y = -21 + -43

Combine like terms: -21 + -43 = -64
27x + 5y = -64

Add '-5y' to each side of the equation.
27x + 5y + -5y = -64 + -5y

Combine like terms: 5y + -5y = 0
27x + 0 = -64 + -5y
27x = -64 + -5y

Divide each side by '27'.
x = -2.37037037 + -0.1851851852y

Simplifying
x = -2.37037037 + -0.1851851852y

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