3(7-5x)=6+(2x+8)

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Solution for 3(7-5x)=6+(2x+8) equation: 


Simplifying
3(7 + -5x) = 6 + (2x + 8)
(7 * 3 + -5x * 3) = 6 + (2x + 8)
(21 + -15x) = 6 + (2x + 8)

Reorder the terms:
21 + -15x = 6 + (8 + 2x)

Remove parenthesis around (8 + 2x)
21 + -15x = 6 + 8 + 2x

Combine like terms: 6 + 8 = 14
21 + -15x = 14 + 2x

Solving
21 + -15x = 14 + 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.
21 + -15x + -2x = 14 + 2x + -2x

Combine like terms: -15x + -2x = -17x
21 + -17x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -17x = 14 + 0
21 + -17x = 14

Add '-21' to each side of the equation.
21 + -21 + -17x = 14 + -21

Combine like terms: 21 + -21 = 0
0 + -17x = 14 + -21
-17x = 14 + -21

Combine like terms: 14 + -21 = -7
-17x = -7

Divide each side by '-17'.
x = 0.4117647059

Simplifying
x = 0.4117647059

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