2(x+3)+3(x+9)=7x+3y+3

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Solution for 2(x+3)+3(x+9)=7x+3y+3 equation:


Simplifying
2(x + 3) + 3(x + 9) = 7x + 3y + 3

Reorder the terms:
2(3 + x) + 3(x + 9) = 7x + 3y + 3
(3 * 2 + x * 2) + 3(x + 9) = 7x + 3y + 3
(6 + 2x) + 3(x + 9) = 7x + 3y + 3

Reorder the terms:
6 + 2x + 3(9 + x) = 7x + 3y + 3
6 + 2x + (9 * 3 + x * 3) = 7x + 3y + 3
6 + 2x + (27 + 3x) = 7x + 3y + 3

Reorder the terms:
6 + 27 + 2x + 3x = 7x + 3y + 3

Combine like terms: 6 + 27 = 33
33 + 2x + 3x = 7x + 3y + 3

Combine like terms: 2x + 3x = 5x
33 + 5x = 7x + 3y + 3

Reorder the terms:
33 + 5x = 3 + 7x + 3y

Solving
33 + 5x = 3 + 7x + 3y

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
33 + 5x + -7x = 3 + 7x + -7x + 3y

Combine like terms: 5x + -7x = -2x
33 + -2x = 3 + 7x + -7x + 3y

Combine like terms: 7x + -7x = 0
33 + -2x = 3 + 0 + 3y
33 + -2x = 3 + 3y

Add '-33' to each side of the equation.
33 + -33 + -2x = 3 + -33 + 3y

Combine like terms: 33 + -33 = 0
0 + -2x = 3 + -33 + 3y
-2x = 3 + -33 + 3y

Combine like terms: 3 + -33 = -30
-2x = -30 + 3y

Divide each side by '-2'.
x = 15 + -1.5y

Simplifying
x = 15 + -1.5y

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