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

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


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

Reorder the terms:
3(-3 + 2x) = -5(1 + -1x)
(-3 * 3 + 2x * 3) = -5(1 + -1x)
(-9 + 6x) = -5(1 + -1x)
-9 + 6x = (1 * -5 + -1x * -5)
-9 + 6x = (-5 + 5x)

Solving
-9 + 6x = -5 + 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.
-9 + 6x + -5x = -5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-9 + 1x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + 1x = -5 + 0
-9 + 1x = -5

Add '9' to each side of the equation.
-9 + 9 + 1x = -5 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -5 + 9
1x = -5 + 9

Combine like terms: -5 + 9 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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