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

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


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

Reorder the terms:
2(3 + x) + 4(y + 2) = 5
(3 * 2 + x * 2) + 4(y + 2) = 5
(6 + 2x) + 4(y + 2) = 5

Reorder the terms:
6 + 2x + 4(2 + y) = 5
6 + 2x + (2 * 4 + y * 4) = 5
6 + 2x + (8 + 4y) = 5

Reorder the terms:
6 + 8 + 2x + 4y = 5

Combine like terms: 6 + 8 = 14
14 + 2x + 4y = 5

Solving
14 + 2x + 4y = 5

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + 2x + -14 + 4y = 5 + -14

Reorder the terms:
14 + -14 + 2x + 4y = 5 + -14

Combine like terms: 14 + -14 = 0
0 + 2x + 4y = 5 + -14
2x + 4y = 5 + -14

Combine like terms: 5 + -14 = -9
2x + 4y = -9

Add '-4y' to each side of the equation.
2x + 4y + -4y = -9 + -4y

Combine like terms: 4y + -4y = 0
2x + 0 = -9 + -4y
2x = -9 + -4y

Divide each side by '2'.
x = -4.5 + -2y

Simplifying
x = -4.5 + -2y

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