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

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


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

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

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

Solving
-25 + 15x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-25 + 15x + -5x = 10 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-25 + 10x = 10 + 5x + -5x

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

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

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

Combine like terms: 10 + 25 = 35
10x = 35

Divide each side by '10'.
x = 3.5

Simplifying
x = 3.5

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