5(x-5)=x(14-4)

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Solution for 5(x-5)=x(14-4) equation:


Simplifying
5(x + -5) = x(14 + -4)

Reorder the terms:
5(-5 + x) = x(14 + -4)
(-5 * 5 + x * 5) = x(14 + -4)
(-25 + 5x) = x(14 + -4)

Combine like terms: 14 + -4 = 10
-25 + 5x = x(10)

Reorder the terms for easier multiplication:
-25 + 5x = 10x

Solving
-25 + 5x = 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-25 + 5x + -10x = 10x + -10x

Combine like terms: 5x + -10x = -5x
-25 + -5x = 10x + -10x

Combine like terms: 10x + -10x = 0
-25 + -5x = 0

Add '25' to each side of the equation.
-25 + 25 + -5x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -5x = 0 + 25
-5x = 0 + 25

Combine like terms: 0 + 25 = 25
-5x = 25

Divide each side by '-5'.
x = -5

Simplifying
x = -5

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