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

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


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

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

Reorder the terms:
-15 + 6x = 6(-2 + 3x)
-15 + 6x = (-2 * 6 + 3x * 6)
-15 + 6x = (-12 + 18x)

Solving
-15 + 6x = -12 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-15 + 6x + -18x = -12 + 18x + -18x

Combine like terms: 6x + -18x = -12x
-15 + -12x = -12 + 18x + -18x

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

Add '15' to each side of the equation.
-15 + 15 + -12x = -12 + 15

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

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

Divide each side by '-12'.
x = -0.25

Simplifying
x = -0.25

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