6(2x-3)-5(3x-2)=

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


Simplifying
6(2x + -3) + -5(3x + -2) = 0

Reorder the terms:
6(-3 + 2x) + -5(3x + -2) = 0
(-3 * 6 + 2x * 6) + -5(3x + -2) = 0
(-18 + 12x) + -5(3x + -2) = 0

Reorder the terms:
-18 + 12x + -5(-2 + 3x) = 0
-18 + 12x + (-2 * -5 + 3x * -5) = 0
-18 + 12x + (10 + -15x) = 0

Reorder the terms:
-18 + 10 + 12x + -15x = 0

Combine like terms: -18 + 10 = -8
-8 + 12x + -15x = 0

Combine like terms: 12x + -15x = -3x
-8 + -3x = 0

Solving
-8 + -3x = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -3x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = 0 + 8
-3x = 0 + 8

Combine like terms: 0 + 8 = 8
-3x = 8

Divide each side by '-3'.
x = -2.666666667

Simplifying
x = -2.666666667

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