20(-4x+23)=19(x-2)

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Solution for 20(-4x+23)=19(x-2) equation: 


Simplifying
20(-4x + 23) = 19(x + -2)

Reorder the terms:
20(23 + -4x) = 19(x + -2)
(23 * 20 + -4x * 20) = 19(x + -2)
(460 + -80x) = 19(x + -2)

Reorder the terms:
460 + -80x = 19(-2 + x)
460 + -80x = (-2 * 19 + x * 19)
460 + -80x = (-38 + 19x)

Solving
460 + -80x = -38 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
460 + -80x + -19x = -38 + 19x + -19x

Combine like terms: -80x + -19x = -99x
460 + -99x = -38 + 19x + -19x

Combine like terms: 19x + -19x = 0
460 + -99x = -38 + 0
460 + -99x = -38

Add '-460' to each side of the equation.
460 + -460 + -99x = -38 + -460

Combine like terms: 460 + -460 = 0
0 + -99x = -38 + -460
-99x = -38 + -460

Combine like terms: -38 + -460 = -498
-99x = -498

Divide each side by '-99'.
x = 5.03030303

Simplifying
x = 5.03030303

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