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

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


Simplifying
4(5 + 2x) + -5 = 3(3x + 7) + 5y
(5 * 4 + 2x * 4) + -5 = 3(3x + 7) + 5y
(20 + 8x) + -5 = 3(3x + 7) + 5y

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

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

Reorder the terms:
15 + 8x = 3(7 + 3x) + 5y
15 + 8x = (7 * 3 + 3x * 3) + 5y
15 + 8x = (21 + 9x) + 5y

Solving
15 + 8x = 21 + 9x + 5y

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
15 + 8x + -9x = 21 + 9x + -9x + 5y

Combine like terms: 8x + -9x = -1x
15 + -1x = 21 + 9x + -9x + 5y

Combine like terms: 9x + -9x = 0
15 + -1x = 21 + 0 + 5y
15 + -1x = 21 + 5y

Add '-15' to each side of the equation.
15 + -15 + -1x = 21 + -15 + 5y

Combine like terms: 15 + -15 = 0
0 + -1x = 21 + -15 + 5y
-1x = 21 + -15 + 5y

Combine like terms: 21 + -15 = 6
-1x = 6 + 5y

Divide each side by '-1'.
x = -6 + -5y

Simplifying
x = -6 + -5y

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