15x+8(3x-1)=20x+5(7x-5+3x)+2y

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Solution for 15x+8(3x-1)=20x+5(7x-5+3x)+2y equation:


Simplifying
15x + 8(3x + -1) = 20x + 5(7x + -5 + 3x) + 2y

Reorder the terms:
15x + 8(-1 + 3x) = 20x + 5(7x + -5 + 3x) + 2y
15x + (-1 * 8 + 3x * 8) = 20x + 5(7x + -5 + 3x) + 2y
15x + (-8 + 24x) = 20x + 5(7x + -5 + 3x) + 2y

Reorder the terms:
-8 + 15x + 24x = 20x + 5(7x + -5 + 3x) + 2y

Combine like terms: 15x + 24x = 39x
-8 + 39x = 20x + 5(7x + -5 + 3x) + 2y

Reorder the terms:
-8 + 39x = 20x + 5(-5 + 7x + 3x) + 2y

Combine like terms: 7x + 3x = 10x
-8 + 39x = 20x + 5(-5 + 10x) + 2y
-8 + 39x = 20x + (-5 * 5 + 10x * 5) + 2y
-8 + 39x = 20x + (-25 + 50x) + 2y

Reorder the terms:
-8 + 39x = -25 + 20x + 50x + 2y

Combine like terms: 20x + 50x = 70x
-8 + 39x = -25 + 70x + 2y

Solving
-8 + 39x = -25 + 70x + 2y

Solving for variable 'x'.

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

Add '-70x' to each side of the equation.
-8 + 39x + -70x = -25 + 70x + -70x + 2y

Combine like terms: 39x + -70x = -31x
-8 + -31x = -25 + 70x + -70x + 2y

Combine like terms: 70x + -70x = 0
-8 + -31x = -25 + 0 + 2y
-8 + -31x = -25 + 2y

Add '8' to each side of the equation.
-8 + 8 + -31x = -25 + 8 + 2y

Combine like terms: -8 + 8 = 0
0 + -31x = -25 + 8 + 2y
-31x = -25 + 8 + 2y

Combine like terms: -25 + 8 = -17
-31x = -17 + 2y

Divide each side by '-31'.
x = 0.5483870968 + -0.06451612903y

Simplifying
x = 0.5483870968 + -0.06451612903y

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