3x+17-5x=-12+3(2x-1)

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Solution for 3x+17-5x=-12+3(2x-1) equation:


Simplifying
3x + 17 + -5x = -12 + 3(2x + -1)

Reorder the terms:
17 + 3x + -5x = -12 + 3(2x + -1)

Combine like terms: 3x + -5x = -2x
17 + -2x = -12 + 3(2x + -1)

Reorder the terms:
17 + -2x = -12 + 3(-1 + 2x)
17 + -2x = -12 + (-1 * 3 + 2x * 3)
17 + -2x = -12 + (-3 + 6x)

Combine like terms: -12 + -3 = -15
17 + -2x = -15 + 6x

Solving
17 + -2x = -15 + 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.
17 + -2x + -6x = -15 + 6x + -6x

Combine like terms: -2x + -6x = -8x
17 + -8x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
17 + -8x = -15 + 0
17 + -8x = -15

Add '-17' to each side of the equation.
17 + -17 + -8x = -15 + -17

Combine like terms: 17 + -17 = 0
0 + -8x = -15 + -17
-8x = -15 + -17

Combine like terms: -15 + -17 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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