20(-7x+4)=19(x-5)

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Solution for 20(-7x+4)=19(x-5) equation: 


Simplifying
20(-7x + 4) = 19(x + -5)

Reorder the terms:
20(4 + -7x) = 19(x + -5)
(4 * 20 + -7x * 20) = 19(x + -5)
(80 + -140x) = 19(x + -5)

Reorder the terms:
80 + -140x = 19(-5 + x)
80 + -140x = (-5 * 19 + x * 19)
80 + -140x = (-95 + 19x)

Solving
80 + -140x = -95 + 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.
80 + -140x + -19x = -95 + 19x + -19x

Combine like terms: -140x + -19x = -159x
80 + -159x = -95 + 19x + -19x

Combine like terms: 19x + -19x = 0
80 + -159x = -95 + 0
80 + -159x = -95

Add '-80' to each side of the equation.
80 + -80 + -159x = -95 + -80

Combine like terms: 80 + -80 = 0
0 + -159x = -95 + -80
-159x = -95 + -80

Combine like terms: -95 + -80 = -175
-159x = -175

Divide each side by '-159'.
x = 1.100628931

Simplifying
x = 1.100628931

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