3(2x+1)=17-2(x-1)

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Solution for 3(2x+1)=17-2(x-1) equation:


Simplifying
3(2x + 1) = 17 + -2(x + -1)

Reorder the terms:
3(1 + 2x) = 17 + -2(x + -1)
(1 * 3 + 2x * 3) = 17 + -2(x + -1)
(3 + 6x) = 17 + -2(x + -1)

Reorder the terms:
3 + 6x = 17 + -2(-1 + x)
3 + 6x = 17 + (-1 * -2 + x * -2)
3 + 6x = 17 + (2 + -2x)

Combine like terms: 17 + 2 = 19
3 + 6x = 19 + -2x

Solving
3 + 6x = 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.
3 + 6x + 2x = 19 + -2x + 2x

Combine like terms: 6x + 2x = 8x
3 + 8x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 8x = 19 + 0
3 + 8x = 19

Add '-3' to each side of the equation.
3 + -3 + 8x = 19 + -3

Combine like terms: 3 + -3 = 0
0 + 8x = 19 + -3
8x = 19 + -3

Combine like terms: 19 + -3 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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