25(x+1)=3(1-x)+50x

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Solution for 25(x+1)=3(1-x)+50x equation: 


Simplifying
25(x + 1) = 3(1 + -1x) + 50x

Reorder the terms:
25(1 + x) = 3(1 + -1x) + 50x
(1 * 25 + x * 25) = 3(1 + -1x) + 50x
(25 + 25x) = 3(1 + -1x) + 50x
25 + 25x = (1 * 3 + -1x * 3) + 50x
25 + 25x = (3 + -3x) + 50x

Combine like terms: -3x + 50x = 47x
25 + 25x = 3 + 47x

Solving
25 + 25x = 3 + 47x

Solving for variable 'x'.

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

Add '-47x' to each side of the equation.
25 + 25x + -47x = 3 + 47x + -47x

Combine like terms: 25x + -47x = -22x
25 + -22x = 3 + 47x + -47x

Combine like terms: 47x + -47x = 0
25 + -22x = 3 + 0
25 + -22x = 3

Add '-25' to each side of the equation.
25 + -25 + -22x = 3 + -25

Combine like terms: 25 + -25 = 0
0 + -22x = 3 + -25
-22x = 3 + -25

Combine like terms: 3 + -25 = -22
-22x = -22

Divide each side by '-22'.
x = 1

Simplifying
x = 1

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