2x-5=5(x-4)

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Solution for 2x-5=5(x-4) equation:


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

Reorder the terms:
-5 + 2x = 5(x + -4)

Reorder the terms:
-5 + 2x = 5(-4 + x)
-5 + 2x = (-4 * 5 + x * 5)
-5 + 2x = (-20 + 5x)

Solving
-5 + 2x = -20 + 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.
-5 + 2x + -5x = -20 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-5 + -3x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -3x = -20 + 0
-5 + -3x = -20

Add '5' to each side of the equation.
-5 + 5 + -3x = -20 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -20 + 5
-3x = -20 + 5

Combine like terms: -20 + 5 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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