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

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


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

Reorder the terms:
4 + -2x = 17x + -4(-5 + 3x)
4 + -2x = 17x + (-5 * -4 + 3x * -4)
4 + -2x = 17x + (20 + -12x)

Reorder the terms:
4 + -2x = 20 + 17x + -12x

Combine like terms: 17x + -12x = 5x
4 + -2x = 20 + 5x

Solving
4 + -2x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + -2x + -5x = 20 + 5x + -5x

Combine like terms: -2x + -5x = -7x
4 + -7x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -7x = 20 + 0
4 + -7x = 20

Add '-4' to each side of the equation.
4 + -4 + -7x = 20 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = 20 + -4
-7x = 20 + -4

Combine like terms: 20 + -4 = 16
-7x = 16

Divide each side by '-7'.
x = -2.285714286

Simplifying
x = -2.285714286

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