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

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


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

Reorder the terms:
(17 + 2x) + -3 = 3(-2x + 15)

Remove parenthesis around (17 + 2x)
17 + 2x + -3 = 3(-2x + 15)

Reorder the terms:
17 + -3 + 2x = 3(-2x + 15)

Combine like terms: 17 + -3 = 14
14 + 2x = 3(-2x + 15)

Reorder the terms:
14 + 2x = 3(15 + -2x)
14 + 2x = (15 * 3 + -2x * 3)
14 + 2x = (45 + -6x)

Solving
14 + 2x = 45 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
14 + 2x + 6x = 45 + -6x + 6x

Combine like terms: 2x + 6x = 8x
14 + 8x = 45 + -6x + 6x

Combine like terms: -6x + 6x = 0
14 + 8x = 45 + 0
14 + 8x = 45

Add '-14' to each side of the equation.
14 + -14 + 8x = 45 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = 45 + -14
8x = 45 + -14

Combine like terms: 45 + -14 = 31
8x = 31

Divide each side by '8'.
x = 3.875

Simplifying
x = 3.875

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