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

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


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

Reorder the terms:
17 + -3x = -4(2 + 4x) + -4(-3 + -3x)
17 + -3x = (2 * -4 + 4x * -4) + -4(-3 + -3x)
17 + -3x = (-8 + -16x) + -4(-3 + -3x)
17 + -3x = -8 + -16x + (-3 * -4 + -3x * -4)
17 + -3x = -8 + -16x + (12 + 12x)

Reorder the terms:
17 + -3x = -8 + 12 + -16x + 12x

Combine like terms: -8 + 12 = 4
17 + -3x = 4 + -16x + 12x

Combine like terms: -16x + 12x = -4x
17 + -3x = 4 + -4x

Solving
17 + -3x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
17 + -3x + 4x = 4 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
17 + 1x = 4 + 0
17 + 1x = 4

Add '-17' to each side of the equation.
17 + -17 + 1x = 4 + -17

Combine like terms: 17 + -17 = 0
0 + 1x = 4 + -17
1x = 4 + -17

Combine like terms: 4 + -17 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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