5(2x+3)=25(x-2)

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Solution for 5(2x+3)=25(x-2) equation:


Simplifying
5(2x + 3) = 25(x + -2)

Reorder the terms:
5(3 + 2x) = 25(x + -2)
(3 * 5 + 2x * 5) = 25(x + -2)
(15 + 10x) = 25(x + -2)

Reorder the terms:
15 + 10x = 25(-2 + x)
15 + 10x = (-2 * 25 + x * 25)
15 + 10x = (-50 + 25x)

Solving
15 + 10x = -50 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
15 + 10x + -25x = -50 + 25x + -25x

Combine like terms: 10x + -25x = -15x
15 + -15x = -50 + 25x + -25x

Combine like terms: 25x + -25x = 0
15 + -15x = -50 + 0
15 + -15x = -50

Add '-15' to each side of the equation.
15 + -15 + -15x = -50 + -15

Combine like terms: 15 + -15 = 0
0 + -15x = -50 + -15
-15x = -50 + -15

Combine like terms: -50 + -15 = -65
-15x = -65

Divide each side by '-15'.
x = 4.333333333

Simplifying
x = 4.333333333

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