-25(x-100)=16(x-100)

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Solution for -25(x-100)=16(x-100) equation:


Simplifying
-25(x + -100) = 16(x + -100)

Reorder the terms:
-25(-100 + x) = 16(x + -100)
(-100 * -25 + x * -25) = 16(x + -100)
(2500 + -25x) = 16(x + -100)

Reorder the terms:
2500 + -25x = 16(-100 + x)
2500 + -25x = (-100 * 16 + x * 16)
2500 + -25x = (-1600 + 16x)

Solving
2500 + -25x = -1600 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
2500 + -25x + -16x = -1600 + 16x + -16x

Combine like terms: -25x + -16x = -41x
2500 + -41x = -1600 + 16x + -16x

Combine like terms: 16x + -16x = 0
2500 + -41x = -1600 + 0
2500 + -41x = -1600

Add '-2500' to each side of the equation.
2500 + -2500 + -41x = -1600 + -2500

Combine like terms: 2500 + -2500 = 0
0 + -41x = -1600 + -2500
-41x = -1600 + -2500

Combine like terms: -1600 + -2500 = -4100
-41x = -4100

Divide each side by '-41'.
x = 100

Simplifying
x = 100

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