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

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


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

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

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

Solving
18 + 6x = -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 + 6x + -5x = -15 + 5x + -5x

Combine like terms: 6x + -5x = 1x
18 + 1x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 1x = -15 + 0
18 + 1x = -15

Add '-18' to each side of the equation.
18 + -18 + 1x = -15 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = -15 + -18
1x = -15 + -18

Combine like terms: -15 + -18 = -33
1x = -33

Divide each side by '1'.
x = -33

Simplifying
x = -33

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