25(2X-3)=125(X+4)

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Solution for 25(2X-3)=125(X+4) equation:


Simplifying
25(2X + -3) = 125(X + 4)

Reorder the terms:
25(-3 + 2X) = 125(X + 4)
(-3 * 25 + 2X * 25) = 125(X + 4)
(-75 + 50X) = 125(X + 4)

Reorder the terms:
-75 + 50X = 125(4 + X)
-75 + 50X = (4 * 125 + X * 125)
-75 + 50X = (500 + 125X)

Solving
-75 + 50X = 500 + 125X

Solving for variable 'X'.

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

Add '-125X' to each side of the equation.
-75 + 50X + -125X = 500 + 125X + -125X

Combine like terms: 50X + -125X = -75X
-75 + -75X = 500 + 125X + -125X

Combine like terms: 125X + -125X = 0
-75 + -75X = 500 + 0
-75 + -75X = 500

Add '75' to each side of the equation.
-75 + 75 + -75X = 500 + 75

Combine like terms: -75 + 75 = 0
0 + -75X = 500 + 75
-75X = 500 + 75

Combine like terms: 500 + 75 = 575
-75X = 575

Divide each side by '-75'.
X = -7.666666667

Simplifying
X = -7.666666667

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