-3(6x-8)+9x=6(x+5)

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Solution for -3(6x-8)+9x=6(x+5) equation:


Simplifying
-3(6x + -8) + 9x = 6(x + 5)

Reorder the terms:
-3(-8 + 6x) + 9x = 6(x + 5)
(-8 * -3 + 6x * -3) + 9x = 6(x + 5)
(24 + -18x) + 9x = 6(x + 5)

Combine like terms: -18x + 9x = -9x
24 + -9x = 6(x + 5)

Reorder the terms:
24 + -9x = 6(5 + x)
24 + -9x = (5 * 6 + x * 6)
24 + -9x = (30 + 6x)

Solving
24 + -9x = 30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
24 + -9x + -6x = 30 + 6x + -6x

Combine like terms: -9x + -6x = -15x
24 + -15x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
24 + -15x = 30 + 0
24 + -15x = 30

Add '-24' to each side of the equation.
24 + -24 + -15x = 30 + -24

Combine like terms: 24 + -24 = 0
0 + -15x = 30 + -24
-15x = 30 + -24

Combine like terms: 30 + -24 = 6
-15x = 6

Divide each side by '-15'.
x = -0.4

Simplifying
x = -0.4

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