5+3(x+8)=6(x-3)-5

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Solution for 5+3(x+8)=6(x-3)-5 equation:


Simplifying
5 + 3(x + 8) = 6(x + -3) + -5

Reorder the terms:
5 + 3(8 + x) = 6(x + -3) + -5
5 + (8 * 3 + x * 3) = 6(x + -3) + -5
5 + (24 + 3x) = 6(x + -3) + -5

Combine like terms: 5 + 24 = 29
29 + 3x = 6(x + -3) + -5

Reorder the terms:
29 + 3x = 6(-3 + x) + -5
29 + 3x = (-3 * 6 + x * 6) + -5
29 + 3x = (-18 + 6x) + -5

Reorder the terms:
29 + 3x = -18 + -5 + 6x

Combine like terms: -18 + -5 = -23
29 + 3x = -23 + 6x

Solving
29 + 3x = -23 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
29 + 3x + -6x = -23 + 6x + -6x

Combine like terms: 3x + -6x = -3x
29 + -3x = -23 + 6x + -6x

Combine like terms: 6x + -6x = 0
29 + -3x = -23 + 0
29 + -3x = -23

Add '-29' to each side of the equation.
29 + -29 + -3x = -23 + -29

Combine like terms: 29 + -29 = 0
0 + -3x = -23 + -29
-3x = -23 + -29

Combine like terms: -23 + -29 = -52
-3x = -52

Divide each side by '-3'.
x = 17.33333333

Simplifying
x = 17.33333333

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