4x-(6x-20)=20(3x+8)

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Solution for 4x-(6x-20)=20(3x+8) equation: 


Simplifying
4x + -1(6x + -20) = 20(3x + 8)

Reorder the terms:
4x + -1(-20 + 6x) = 20(3x + 8)
4x + (-20 * -1 + 6x * -1) = 20(3x + 8)
4x + (20 + -6x) = 20(3x + 8)

Reorder the terms:
20 + 4x + -6x = 20(3x + 8)

Combine like terms: 4x + -6x = -2x
20 + -2x = 20(3x + 8)

Reorder the terms:
20 + -2x = 20(8 + 3x)
20 + -2x = (8 * 20 + 3x * 20)
20 + -2x = (160 + 60x)

Solving
20 + -2x = 160 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
20 + -2x + -60x = 160 + 60x + -60x

Combine like terms: -2x + -60x = -62x
20 + -62x = 160 + 60x + -60x

Combine like terms: 60x + -60x = 0
20 + -62x = 160 + 0
20 + -62x = 160

Add '-20' to each side of the equation.
20 + -20 + -62x = 160 + -20

Combine like terms: 20 + -20 = 0
0 + -62x = 160 + -20
-62x = 160 + -20

Combine like terms: 160 + -20 = 140
-62x = 140

Divide each side by '-62'.
x = -2.258064516

Simplifying
x = -2.258064516

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