6(4x+3)=9(2x-5)

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Solution for 6(4x+3)=9(2x-5) equation:


Simplifying
6(4x + 3) = 9(2x + -5)

Reorder the terms:
6(3 + 4x) = 9(2x + -5)
(3 * 6 + 4x * 6) = 9(2x + -5)
(18 + 24x) = 9(2x + -5)

Reorder the terms:
18 + 24x = 9(-5 + 2x)
18 + 24x = (-5 * 9 + 2x * 9)
18 + 24x = (-45 + 18x)

Solving
18 + 24x = -45 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
18 + 24x + -18x = -45 + 18x + -18x

Combine like terms: 24x + -18x = 6x
18 + 6x = -45 + 18x + -18x

Combine like terms: 18x + -18x = 0
18 + 6x = -45 + 0
18 + 6x = -45

Add '-18' to each side of the equation.
18 + -18 + 6x = -45 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = -45 + -18
6x = -45 + -18

Combine like terms: -45 + -18 = -63
6x = -63

Divide each side by '6'.
x = -10.5

Simplifying
x = -10.5

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