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

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


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

Reorder the terms:
2(2 + 3x) = 17 + -2(x + -2)
(2 * 2 + 3x * 2) = 17 + -2(x + -2)
(4 + 6x) = 17 + -2(x + -2)

Reorder the terms:
4 + 6x = 17 + -2(-2 + x)
4 + 6x = 17 + (-2 * -2 + x * -2)
4 + 6x = 17 + (4 + -2x)

Combine like terms: 17 + 4 = 21
4 + 6x = 21 + -2x

Solving
4 + 6x = 21 + -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.
4 + 6x + 2x = 21 + -2x + 2x

Combine like terms: 6x + 2x = 8x
4 + 8x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 8x = 21 + 0
4 + 8x = 21

Add '-4' to each side of the equation.
4 + -4 + 8x = 21 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = 21 + -4
8x = 21 + -4

Combine like terms: 21 + -4 = 17
8x = 17

Divide each side by '8'.
x = 2.125

Simplifying
x = 2.125

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