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

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


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

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

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

Combine like terms: -5 + 6 = 1
18 + 3x = 1 + -2x

Solving
18 + 3x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
18 + 3x + 2x = 1 + -2x + 2x

Combine like terms: 3x + 2x = 5x
18 + 5x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
18 + 5x = 1 + 0
18 + 5x = 1

Add '-18' to each side of the equation.
18 + -18 + 5x = 1 + -18

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

Combine like terms: 1 + -18 = -17
5x = -17

Divide each side by '5'.
x = -3.4

Simplifying
x = -3.4

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