2(4x-1)-3x-5=-17

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Solution for 2(4x-1)-3x-5=-17 equation:


Simplifying
2(4x + -1) + -3x + -5 = -17

Reorder the terms:
2(-1 + 4x) + -3x + -5 = -17
(-1 * 2 + 4x * 2) + -3x + -5 = -17
(-2 + 8x) + -3x + -5 = -17

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

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

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

Solving
-7 + 5x = -17

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 5x = -17 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = -17 + 7
5x = -17 + 7

Combine like terms: -17 + 7 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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