2x+4-3(-2x+1)=2x-17

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Solution for 2x+4-3(-2x+1)=2x-17 equation:


Simplifying
2x + 4 + -3(-2x + 1) = 2x + -17

Reorder the terms:
2x + 4 + -3(1 + -2x) = 2x + -17
2x + 4 + (1 * -3 + -2x * -3) = 2x + -17
2x + 4 + (-3 + 6x) = 2x + -17

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

Combine like terms: 4 + -3 = 1
1 + 2x + 6x = 2x + -17

Combine like terms: 2x + 6x = 8x
1 + 8x = 2x + -17

Reorder the terms:
1 + 8x = -17 + 2x

Solving
1 + 8x = -17 + 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.
1 + 8x + -2x = -17 + 2x + -2x

Combine like terms: 8x + -2x = 6x
1 + 6x = -17 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 6x = -17 + 0
1 + 6x = -17

Add '-1' to each side of the equation.
1 + -1 + 6x = -17 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = -17 + -1
6x = -17 + -1

Combine like terms: -17 + -1 = -18
6x = -18

Divide each side by '6'.
x = -3

Simplifying
x = -3

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