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

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


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

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

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

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

Combine like terms: 15y + 5y = 20y
15 + 8x = -21 + 20y

Solving
15 + 8x = -21 + 20y

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 8x = -21 + -15 + 20y

Combine like terms: 15 + -15 = 0
0 + 8x = -21 + -15 + 20y
8x = -21 + -15 + 20y

Combine like terms: -21 + -15 = -36
8x = -36 + 20y

Divide each side by '8'.
x = -4.5 + 2.5y

Simplifying
x = -4.5 + 2.5y

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