(3x-5)=-4(3-x)

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Solution for (3x-5)=-4(3-x) equation:


Simplifying
(3x + -5) = -4(3 + -1x)

Reorder the terms:
(-5 + 3x) = -4(3 + -1x)

Remove parenthesis around (-5 + 3x)
-5 + 3x = -4(3 + -1x)
-5 + 3x = (3 * -4 + -1x * -4)
-5 + 3x = (-12 + 4x)

Solving
-5 + 3x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 3x + -4x = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-5 + -1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -1x = -12 + 0
-5 + -1x = -12

Add '5' to each side of the equation.
-5 + 5 + -1x = -12 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -12 + 5
-1x = -12 + 5

Combine like terms: -12 + 5 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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