3(x+6)-5=16-2(x-3)-3

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Solution for 3(x+6)-5=16-2(x-3)-3 equation:


Simplifying
3(x + 6) + -5 = 16 + -2(x + -3) + -3

Reorder the terms:
3(6 + x) + -5 = 16 + -2(x + -3) + -3
(6 * 3 + x * 3) + -5 = 16 + -2(x + -3) + -3
(18 + 3x) + -5 = 16 + -2(x + -3) + -3

Reorder the terms:
18 + -5 + 3x = 16 + -2(x + -3) + -3

Combine like terms: 18 + -5 = 13
13 + 3x = 16 + -2(x + -3) + -3

Reorder the terms:
13 + 3x = 16 + -2(-3 + x) + -3
13 + 3x = 16 + (-3 * -2 + x * -2) + -3
13 + 3x = 16 + (6 + -2x) + -3

Reorder the terms:
13 + 3x = 16 + 6 + -3 + -2x

Combine like terms: 16 + 6 = 22
13 + 3x = 22 + -3 + -2x

Combine like terms: 22 + -3 = 19
13 + 3x = 19 + -2x

Solving
13 + 3x = 19 + -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.
13 + 3x + 2x = 19 + -2x + 2x

Combine like terms: 3x + 2x = 5x
13 + 5x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 5x = 19 + 0
13 + 5x = 19

Add '-13' to each side of the equation.
13 + -13 + 5x = 19 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 19 + -13
5x = 19 + -13

Combine like terms: 19 + -13 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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