-5(3x+2)+9x=6(4x+-5)

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Solution for -5(3x+2)+9x=6(4x+-5) equation:


Simplifying
-5(3x + 2) + 9x = 6(4x + -5)

Reorder the terms:
-5(2 + 3x) + 9x = 6(4x + -5)
(2 * -5 + 3x * -5) + 9x = 6(4x + -5)
(-10 + -15x) + 9x = 6(4x + -5)

Combine like terms: -15x + 9x = -6x
-10 + -6x = 6(4x + -5)

Reorder the terms:
-10 + -6x = 6(-5 + 4x)
-10 + -6x = (-5 * 6 + 4x * 6)
-10 + -6x = (-30 + 24x)

Solving
-10 + -6x = -30 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-10 + -6x + -24x = -30 + 24x + -24x

Combine like terms: -6x + -24x = -30x
-10 + -30x = -30 + 24x + -24x

Combine like terms: 24x + -24x = 0
-10 + -30x = -30 + 0
-10 + -30x = -30

Add '10' to each side of the equation.
-10 + 10 + -30x = -30 + 10

Combine like terms: -10 + 10 = 0
0 + -30x = -30 + 10
-30x = -30 + 10

Combine like terms: -30 + 10 = -20
-30x = -20

Divide each side by '-30'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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