13(-14x+17)=-25(x-5)

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Solution for 13(-14x+17)=-25(x-5) equation: 


Simplifying
13(-14x + 17) = -25(x + -5)

Reorder the terms:
13(17 + -14x) = -25(x + -5)
(17 * 13 + -14x * 13) = -25(x + -5)
(221 + -182x) = -25(x + -5)

Reorder the terms:
221 + -182x = -25(-5 + x)
221 + -182x = (-5 * -25 + x * -25)
221 + -182x = (125 + -25x)

Solving
221 + -182x = 125 + -25x

Solving for variable 'x'.

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

Add '25x' to each side of the equation.
221 + -182x + 25x = 125 + -25x + 25x

Combine like terms: -182x + 25x = -157x
221 + -157x = 125 + -25x + 25x

Combine like terms: -25x + 25x = 0
221 + -157x = 125 + 0
221 + -157x = 125

Add '-221' to each side of the equation.
221 + -221 + -157x = 125 + -221

Combine like terms: 221 + -221 = 0
0 + -157x = 125 + -221
-157x = 125 + -221

Combine like terms: 125 + -221 = -96
-157x = -96

Divide each side by '-157'.
x = 0.6114649682

Simplifying
x = 0.6114649682

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