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

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


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

Reorder the terms:
9(3 + 2x) = 3(5x + 4)
(3 * 9 + 2x * 9) = 3(5x + 4)
(27 + 18x) = 3(5x + 4)

Reorder the terms:
27 + 18x = 3(4 + 5x)
27 + 18x = (4 * 3 + 5x * 3)
27 + 18x = (12 + 15x)

Solving
27 + 18x = 12 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
27 + 18x + -15x = 12 + 15x + -15x

Combine like terms: 18x + -15x = 3x
27 + 3x = 12 + 15x + -15x

Combine like terms: 15x + -15x = 0
27 + 3x = 12 + 0
27 + 3x = 12

Add '-27' to each side of the equation.
27 + -27 + 3x = 12 + -27

Combine like terms: 27 + -27 = 0
0 + 3x = 12 + -27
3x = 12 + -27

Combine like terms: 12 + -27 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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