25(x+4)=5(2x+5)

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Solution for 25(x+4)=5(2x+5) equation:


Simplifying
25(x + 4) = 5(2x + 5)

Reorder the terms:
25(4 + x) = 5(2x + 5)
(4 * 25 + x * 25) = 5(2x + 5)
(100 + 25x) = 5(2x + 5)

Reorder the terms:
100 + 25x = 5(5 + 2x)
100 + 25x = (5 * 5 + 2x * 5)
100 + 25x = (25 + 10x)

Solving
100 + 25x = 25 + 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.
100 + 25x + -10x = 25 + 10x + -10x

Combine like terms: 25x + -10x = 15x
100 + 15x = 25 + 10x + -10x

Combine like terms: 10x + -10x = 0
100 + 15x = 25 + 0
100 + 15x = 25

Add '-100' to each side of the equation.
100 + -100 + 15x = 25 + -100

Combine like terms: 100 + -100 = 0
0 + 15x = 25 + -100
15x = 25 + -100

Combine like terms: 25 + -100 = -75
15x = -75

Divide each side by '15'.
x = -5

Simplifying
x = -5

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