3(1-2x)=-5(3x-2)

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Solution for 3(1-2x)=-5(3x-2) equation:


Simplifying
3(1 + -2x) = -5(3x + -2)
(1 * 3 + -2x * 3) = -5(3x + -2)
(3 + -6x) = -5(3x + -2)

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

Solving
3 + -6x = 10 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
3 + -6x + 15x = 10 + -15x + 15x

Combine like terms: -6x + 15x = 9x
3 + 9x = 10 + -15x + 15x

Combine like terms: -15x + 15x = 0
3 + 9x = 10 + 0
3 + 9x = 10

Add '-3' to each side of the equation.
3 + -3 + 9x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 10 + -3
9x = 10 + -3

Combine like terms: 10 + -3 = 7
9x = 7

Divide each side by '9'.
x = 0.7777777778

Simplifying
x = 0.7777777778

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