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

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


Simplifying
2(2 + -3x) = -5(x + -3)
(2 * 2 + -3x * 2) = -5(x + -3)
(4 + -6x) = -5(x + -3)

Reorder the terms:
4 + -6x = -5(-3 + x)
4 + -6x = (-3 * -5 + x * -5)
4 + -6x = (15 + -5x)

Solving
4 + -6x = 15 + -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.
4 + -6x + 5x = 15 + -5x + 5x

Combine like terms: -6x + 5x = -1x
4 + -1x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
4 + -1x = 15 + 0
4 + -1x = 15

Add '-4' to each side of the equation.
4 + -4 + -1x = 15 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 15 + -4
-1x = 15 + -4

Combine like terms: 15 + -4 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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