-25(x-4)=-55(x-10)

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Solution for -25(x-4)=-55(x-10) equation:


Simplifying
-25(x + -4) = -55(x + -10)

Reorder the terms:
-25(-4 + x) = -55(x + -10)
(-4 * -25 + x * -25) = -55(x + -10)
(100 + -25x) = -55(x + -10)

Reorder the terms:
100 + -25x = -55(-10 + x)
100 + -25x = (-10 * -55 + x * -55)
100 + -25x = (550 + -55x)

Solving
100 + -25x = 550 + -55x

Solving for variable 'x'.

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

Add '55x' to each side of the equation.
100 + -25x + 55x = 550 + -55x + 55x

Combine like terms: -25x + 55x = 30x
100 + 30x = 550 + -55x + 55x

Combine like terms: -55x + 55x = 0
100 + 30x = 550 + 0
100 + 30x = 550

Add '-100' to each side of the equation.
100 + -100 + 30x = 550 + -100

Combine like terms: 100 + -100 = 0
0 + 30x = 550 + -100
30x = 550 + -100

Combine like terms: 550 + -100 = 450
30x = 450

Divide each side by '30'.
x = 15

Simplifying
x = 15

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