2x-3=5(x-5)

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


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

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

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

Solving
-3 + 2x = -25 + 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.
-3 + 2x + -5x = -25 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-3 + -3x = -25 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -3x = -25 + 0
-3 + -3x = -25

Add '3' to each side of the equation.
-3 + 3 + -3x = -25 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -25 + 3
-3x = -25 + 3

Combine like terms: -25 + 3 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333

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