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

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


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

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

Solving
-10 + 2x = 6 + -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.
-10 + 2x + 9x = 6 + -9x + 9x

Combine like terms: 2x + 9x = 11x
-10 + 11x = 6 + -9x + 9x

Combine like terms: -9x + 9x = 0
-10 + 11x = 6 + 0
-10 + 11x = 6

Add '10' to each side of the equation.
-10 + 10 + 11x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 6 + 10
11x = 6 + 10

Combine like terms: 6 + 10 = 16
11x = 16

Divide each side by '11'.
x = 1.454545455

Simplifying
x = 1.454545455

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