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

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


Simplifying
3(5 + -2x) = 6(x + 2) + -5
(5 * 3 + -2x * 3) = 6(x + 2) + -5
(15 + -6x) = 6(x + 2) + -5

Reorder the terms:
15 + -6x = 6(2 + x) + -5
15 + -6x = (2 * 6 + x * 6) + -5
15 + -6x = (12 + 6x) + -5

Reorder the terms:
15 + -6x = 12 + -5 + 6x

Combine like terms: 12 + -5 = 7
15 + -6x = 7 + 6x

Solving
15 + -6x = 7 + 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.
15 + -6x + -6x = 7 + 6x + -6x

Combine like terms: -6x + -6x = -12x
15 + -12x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -12x = 7 + 0
15 + -12x = 7

Add '-15' to each side of the equation.
15 + -15 + -12x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -12x = 7 + -15
-12x = 7 + -15

Combine like terms: 7 + -15 = -8
-12x = -8

Divide each side by '-12'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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