3x+2-5(x-1)=8x+17

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Solution for 3x+2-5(x-1)=8x+17 equation:


Simplifying
3x + 2 + -5(x + -1) = 8x + 17

Reorder the terms:
3x + 2 + -5(-1 + x) = 8x + 17
3x + 2 + (-1 * -5 + x * -5) = 8x + 17
3x + 2 + (5 + -5x) = 8x + 17

Reorder the terms:
2 + 5 + 3x + -5x = 8x + 17

Combine like terms: 2 + 5 = 7
7 + 3x + -5x = 8x + 17

Combine like terms: 3x + -5x = -2x
7 + -2x = 8x + 17

Reorder the terms:
7 + -2x = 17 + 8x

Solving
7 + -2x = 17 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7 + -2x + -8x = 17 + 8x + -8x

Combine like terms: -2x + -8x = -10x
7 + -10x = 17 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + -10x = 17 + 0
7 + -10x = 17

Add '-7' to each side of the equation.
7 + -7 + -10x = 17 + -7

Combine like terms: 7 + -7 = 0
0 + -10x = 17 + -7
-10x = 17 + -7

Combine like terms: 17 + -7 = 10
-10x = 10

Divide each side by '-10'.
x = -1

Simplifying
x = -1

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