10y(2.5+2)+3x=5(3-x)

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Solution for 10y(2.5+2)+3x=5(3-x) equation:


Simplifying
10y(2.5 + 2) + 3x = 5(3 + -1x)

Combine like terms: 2.5 + 2 = 4.5
10y(4.5) + 3x = 5(3 + -1x)

Reorder the terms for easier multiplication:
10 * 4.5y + 3x = 5(3 + -1x)

Multiply 10 * 4.5
45y + 3x = 5(3 + -1x)

Reorder the terms:
3x + 45y = 5(3 + -1x)
3x + 45y = (3 * 5 + -1x * 5)
3x + 45y = (15 + -5x)

Solving
3x + 45y = 15 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
3x + 5x + 45y = 15 + -5x + 5x

Combine like terms: 3x + 5x = 8x
8x + 45y = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
8x + 45y = 15 + 0
8x + 45y = 15

Add '-45y' to each side of the equation.
8x + 45y + -45y = 15 + -45y

Combine like terms: 45y + -45y = 0
8x + 0 = 15 + -45y
8x = 15 + -45y

Divide each side by '8'.
x = 1.875 + -5.625y

Simplifying
x = 1.875 + -5.625y

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