3(7-2x)=14-8(x-1)+5

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Solution for 3(7-2x)=14-8(x-1)+5 equation: 


Simplifying
3(7 + -2x) = 14 + -8(x + -1) + 5
(7 * 3 + -2x * 3) = 14 + -8(x + -1) + 5
(21 + -6x) = 14 + -8(x + -1) + 5

Reorder the terms:
21 + -6x = 14 + -8(-1 + x) + 5
21 + -6x = 14 + (-1 * -8 + x * -8) + 5
21 + -6x = 14 + (8 + -8x) + 5

Reorder the terms:
21 + -6x = 14 + 8 + 5 + -8x

Combine like terms: 14 + 8 = 22
21 + -6x = 22 + 5 + -8x

Combine like terms: 22 + 5 = 27
21 + -6x = 27 + -8x

Solving
21 + -6x = 27 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
21 + -6x + 8x = 27 + -8x + 8x

Combine like terms: -6x + 8x = 2x
21 + 2x = 27 + -8x + 8x

Combine like terms: -8x + 8x = 0
21 + 2x = 27 + 0
21 + 2x = 27

Add '-21' to each side of the equation.
21 + -21 + 2x = 27 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 27 + -21
2x = 27 + -21

Combine like terms: 27 + -21 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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