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

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


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

Reorder the terms:
5(-3 + x) = -6(4 + -1x)
(-3 * 5 + x * 5) = -6(4 + -1x)
(-15 + 5x) = -6(4 + -1x)
-15 + 5x = (4 * -6 + -1x * -6)
-15 + 5x = (-24 + 6x)

Solving
-15 + 5x = -24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-15 + 5x + -6x = -24 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-15 + -1x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -1x = -24 + 0
-15 + -1x = -24

Add '15' to each side of the equation.
-15 + 15 + -1x = -24 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -24 + 15
-1x = -24 + 15

Combine like terms: -24 + 15 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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