3(x-6)=-5(2-x)

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Solution for 3(x-6)=-5(2-x) equation:


Simplifying
3(x + -6) = -5(2 + -1x)

Reorder the terms:
3(-6 + x) = -5(2 + -1x)
(-6 * 3 + x * 3) = -5(2 + -1x)
(-18 + 3x) = -5(2 + -1x)
-18 + 3x = (2 * -5 + -1x * -5)
-18 + 3x = (-10 + 5x)

Solving
-18 + 3x = -10 + 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.
-18 + 3x + -5x = -10 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-18 + -2x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + -2x = -10 + 0
-18 + -2x = -10

Add '18' to each side of the equation.
-18 + 18 + -2x = -10 + 18

Combine like terms: -18 + 18 = 0
0 + -2x = -10 + 18
-2x = -10 + 18

Combine like terms: -10 + 18 = 8
-2x = 8

Divide each side by '-2'.
x = -4

Simplifying
x = -4

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