15+2(3x-3)=17-(2x-8)

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Solution for 15+2(3x-3)=17-(2x-8) equation:


Simplifying
15 + 2(3x + -3) = 17 + -1(2x + -8)

Reorder the terms:
15 + 2(-3 + 3x) = 17 + -1(2x + -8)
15 + (-3 * 2 + 3x * 2) = 17 + -1(2x + -8)
15 + (-6 + 6x) = 17 + -1(2x + -8)

Combine like terms: 15 + -6 = 9
9 + 6x = 17 + -1(2x + -8)

Reorder the terms:
9 + 6x = 17 + -1(-8 + 2x)
9 + 6x = 17 + (-8 * -1 + 2x * -1)
9 + 6x = 17 + (8 + -2x)

Combine like terms: 17 + 8 = 25
9 + 6x = 25 + -2x

Solving
9 + 6x = 25 + -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.
9 + 6x + 2x = 25 + -2x + 2x

Combine like terms: 6x + 2x = 8x
9 + 8x = 25 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 8x = 25 + 0
9 + 8x = 25

Add '-9' to each side of the equation.
9 + -9 + 8x = 25 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = 25 + -9
8x = 25 + -9

Combine like terms: 25 + -9 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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