3(x+6y)=10(x+9)

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Solution for 3(x+6y)=10(x+9) equation:


Simplifying
3(x + 6y) = 10(x + 9)
(x * 3 + 6y * 3) = 10(x + 9)
(3x + 18y) = 10(x + 9)

Reorder the terms:
3x + 18y = 10(9 + x)
3x + 18y = (9 * 10 + x * 10)
3x + 18y = (90 + 10x)

Solving
3x + 18y = 90 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3x + -10x + 18y = 90 + 10x + -10x

Combine like terms: 3x + -10x = -7x
-7x + 18y = 90 + 10x + -10x

Combine like terms: 10x + -10x = 0
-7x + 18y = 90 + 0
-7x + 18y = 90

Add '-18y' to each side of the equation.
-7x + 18y + -18y = 90 + -18y

Combine like terms: 18y + -18y = 0
-7x + 0 = 90 + -18y
-7x = 90 + -18y

Divide each side by '-7'.
x = -12.85714286 + 2.571428571y

Simplifying
x = -12.85714286 + 2.571428571y

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