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

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


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

Reorder the terms:
4(3 + 2x) = 9(3x + -5)
(3 * 4 + 2x * 4) = 9(3x + -5)
(12 + 8x) = 9(3x + -5)

Reorder the terms:
12 + 8x = 9(-5 + 3x)
12 + 8x = (-5 * 9 + 3x * 9)
12 + 8x = (-45 + 27x)

Solving
12 + 8x = -45 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
12 + 8x + -27x = -45 + 27x + -27x

Combine like terms: 8x + -27x = -19x
12 + -19x = -45 + 27x + -27x

Combine like terms: 27x + -27x = 0
12 + -19x = -45 + 0
12 + -19x = -45

Add '-12' to each side of the equation.
12 + -12 + -19x = -45 + -12

Combine like terms: 12 + -12 = 0
0 + -19x = -45 + -12
-19x = -45 + -12

Combine like terms: -45 + -12 = -57
-19x = -57

Divide each side by '-19'.
x = 3

Simplifying
x = 3

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