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

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


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

Reorder the terms:
3(-6 + x) = -5(3 + x)
(-6 * 3 + x * 3) = -5(3 + x)
(-18 + 3x) = -5(3 + x)
-18 + 3x = (3 * -5 + x * -5)
-18 + 3x = (-15 + -5x)

Solving
-18 + 3x = -15 + -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 = -15 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-18 + 8x = -15 + -5x + 5x

Combine like terms: -5x + 5x = 0
-18 + 8x = -15 + 0
-18 + 8x = -15

Add '18' to each side of the equation.
-18 + 18 + 8x = -15 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = -15 + 18
8x = -15 + 18

Combine like terms: -15 + 18 = 3
8x = 3

Divide each side by '8'.
x = 0.375

Simplifying
x = 0.375

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