2(4-3x)+5(2x-3)=20-5y

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Solution for 2(4-3x)+5(2x-3)=20-5y equation: 


Simplifying
2(4 + -3x) + 5(2x + -3) = 20 + -5y
(4 * 2 + -3x * 2) + 5(2x + -3) = 20 + -5y
(8 + -6x) + 5(2x + -3) = 20 + -5y

Reorder the terms:
8 + -6x + 5(-3 + 2x) = 20 + -5y
8 + -6x + (-3 * 5 + 2x * 5) = 20 + -5y
8 + -6x + (-15 + 10x) = 20 + -5y

Reorder the terms:
8 + -15 + -6x + 10x = 20 + -5y

Combine like terms: 8 + -15 = -7
-7 + -6x + 10x = 20 + -5y

Combine like terms: -6x + 10x = 4x
-7 + 4x = 20 + -5y

Solving
-7 + 4x = 20 + -5y

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 4x = 20 + 7 + -5y

Combine like terms: -7 + 7 = 0
0 + 4x = 20 + 7 + -5y
4x = 20 + 7 + -5y

Combine like terms: 20 + 7 = 27
4x = 27 + -5y

Divide each side by '4'.
x = 6.75 + -1.25y

Simplifying
x = 6.75 + -1.25y

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