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

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


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

Reorder the terms:
-3(-1 + 2x) = 5(x + -2)
(-1 * -3 + 2x * -3) = 5(x + -2)
(3 + -6x) = 5(x + -2)

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

Solving
3 + -6x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
3 + -6x + -5x = -10 + 5x + -5x

Combine like terms: -6x + -5x = -11x
3 + -11x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -11x = -10 + 0
3 + -11x = -10

Add '-3' to each side of the equation.
3 + -3 + -11x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -11x = -10 + -3
-11x = -10 + -3

Combine like terms: -10 + -3 = -13
-11x = -13

Divide each side by '-11'.
x = 1.181818182

Simplifying
x = 1.181818182

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