9(4x-6)=8(x+3)

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Solution for 9(4x-6)=8(x+3) equation:


Simplifying
9(4x + -6) = 8(x + 3)

Reorder the terms:
9(-6 + 4x) = 8(x + 3)
(-6 * 9 + 4x * 9) = 8(x + 3)
(-54 + 36x) = 8(x + 3)

Reorder the terms:
-54 + 36x = 8(3 + x)
-54 + 36x = (3 * 8 + x * 8)
-54 + 36x = (24 + 8x)

Solving
-54 + 36x = 24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-54 + 36x + -8x = 24 + 8x + -8x

Combine like terms: 36x + -8x = 28x
-54 + 28x = 24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-54 + 28x = 24 + 0
-54 + 28x = 24

Add '54' to each side of the equation.
-54 + 54 + 28x = 24 + 54

Combine like terms: -54 + 54 = 0
0 + 28x = 24 + 54
28x = 24 + 54

Combine like terms: 24 + 54 = 78
28x = 78

Divide each side by '28'.
x = 2.785714286

Simplifying
x = 2.785714286

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