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

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


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

Reorder the terms:
3(6 + 5x) = 7(3x + -9)
(6 * 3 + 5x * 3) = 7(3x + -9)
(18 + 15x) = 7(3x + -9)

Reorder the terms:
18 + 15x = 7(-9 + 3x)
18 + 15x = (-9 * 7 + 3x * 7)
18 + 15x = (-63 + 21x)

Solving
18 + 15x = -63 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
18 + 15x + -21x = -63 + 21x + -21x

Combine like terms: 15x + -21x = -6x
18 + -6x = -63 + 21x + -21x

Combine like terms: 21x + -21x = 0
18 + -6x = -63 + 0
18 + -6x = -63

Add '-18' to each side of the equation.
18 + -18 + -6x = -63 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = -63 + -18
-6x = -63 + -18

Combine like terms: -63 + -18 = -81
-6x = -81

Divide each side by '-6'.
x = 13.5

Simplifying
x = 13.5

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