4(2x+9y)=7(5+y-3x)

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Solution for 4(2x+9y)=7(5+y-3x) equation:


Simplifying
4(2x + 9y) = 7(5 + y + -3x)
(2x * 4 + 9y * 4) = 7(5 + y + -3x)
(8x + 36y) = 7(5 + y + -3x)

Reorder the terms:
8x + 36y = 7(5 + -3x + y)
8x + 36y = (5 * 7 + -3x * 7 + y * 7)
8x + 36y = (35 + -21x + 7y)

Solving
8x + 36y = 35 + -21x + 7y

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
8x + 21x + 36y = 35 + -21x + 21x + 7y

Combine like terms: 8x + 21x = 29x
29x + 36y = 35 + -21x + 21x + 7y

Combine like terms: -21x + 21x = 0
29x + 36y = 35 + 0 + 7y
29x + 36y = 35 + 7y

Add '-36y' to each side of the equation.
29x + 36y + -36y = 35 + 7y + -36y

Combine like terms: 36y + -36y = 0
29x + 0 = 35 + 7y + -36y
29x = 35 + 7y + -36y

Combine like terms: 7y + -36y = -29y
29x = 35 + -29y

Divide each side by '29'.
x = 1.206896552 + -1y

Simplifying
x = 1.206896552 + -1y

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