7(3x+9)=5(6x-3)

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Solution for 7(3x+9)=5(6x-3) equation:


Simplifying
7(3x + 9) = 5(6x + -3)

Reorder the terms:
7(9 + 3x) = 5(6x + -3)
(9 * 7 + 3x * 7) = 5(6x + -3)
(63 + 21x) = 5(6x + -3)

Reorder the terms:
63 + 21x = 5(-3 + 6x)
63 + 21x = (-3 * 5 + 6x * 5)
63 + 21x = (-15 + 30x)

Solving
63 + 21x = -15 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
63 + 21x + -30x = -15 + 30x + -30x

Combine like terms: 21x + -30x = -9x
63 + -9x = -15 + 30x + -30x

Combine like terms: 30x + -30x = 0
63 + -9x = -15 + 0
63 + -9x = -15

Add '-63' to each side of the equation.
63 + -63 + -9x = -15 + -63

Combine like terms: 63 + -63 = 0
0 + -9x = -15 + -63
-9x = -15 + -63

Combine like terms: -15 + -63 = -78
-9x = -78

Divide each side by '-9'.
x = 8.666666667

Simplifying
x = 8.666666667

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