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

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


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

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

Reorder the terms:
-24 + 6x = 3(5 + 3x)
-24 + 6x = (5 * 3 + 3x * 3)
-24 + 6x = (15 + 9x)

Solving
-24 + 6x = 15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-24 + 6x + -9x = 15 + 9x + -9x

Combine like terms: 6x + -9x = -3x
-24 + -3x = 15 + 9x + -9x

Combine like terms: 9x + -9x = 0
-24 + -3x = 15 + 0
-24 + -3x = 15

Add '24' to each side of the equation.
-24 + 24 + -3x = 15 + 24

Combine like terms: -24 + 24 = 0
0 + -3x = 15 + 24
-3x = 15 + 24

Combine like terms: 15 + 24 = 39
-3x = 39

Divide each side by '-3'.
x = -13

Simplifying
x = -13

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