5x-6=-4(3-x)

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Solution for 5x-6=-4(3-x) equation:


Simplifying
5x + -6 = -4(3 + -1x)

Reorder the terms:
-6 + 5x = -4(3 + -1x)
-6 + 5x = (3 * -4 + -1x * -4)
-6 + 5x = (-12 + 4x)

Solving
-6 + 5x = -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.
-6 + 5x + -4x = -12 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-6 + 1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 1x = -12 + 0
-6 + 1x = -12

Add '6' to each side of the equation.
-6 + 6 + 1x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -12 + 6
1x = -12 + 6

Combine like terms: -12 + 6 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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