3(x+5)+4(2y+3)=45

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Solution for 3(x+5)+4(2y+3)=45 equation: 


Simplifying
3(x + 5) + 4(2y + 3) = 45

Reorder the terms:
3(5 + x) + 4(2y + 3) = 45
(5 * 3 + x * 3) + 4(2y + 3) = 45
(15 + 3x) + 4(2y + 3) = 45

Reorder the terms:
15 + 3x + 4(3 + 2y) = 45
15 + 3x + (3 * 4 + 2y * 4) = 45
15 + 3x + (12 + 8y) = 45

Reorder the terms:
15 + 12 + 3x + 8y = 45

Combine like terms: 15 + 12 = 27
27 + 3x + 8y = 45

Solving
27 + 3x + 8y = 45

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + 3x + -27 + 8y = 45 + -27

Reorder the terms:
27 + -27 + 3x + 8y = 45 + -27

Combine like terms: 27 + -27 = 0
0 + 3x + 8y = 45 + -27
3x + 8y = 45 + -27

Combine like terms: 45 + -27 = 18
3x + 8y = 18

Add '-8y' to each side of the equation.
3x + 8y + -8y = 18 + -8y

Combine like terms: 8y + -8y = 0
3x + 0 = 18 + -8y
3x = 18 + -8y

Divide each side by '3'.
x = 6 + -2.666666667y

Simplifying
x = 6 + -2.666666667y

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