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

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


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

Reorder the terms:
2(-5 + x) = 5(x + -4)
(-5 * 2 + x * 2) = 5(x + -4)
(-10 + 2x) = 5(x + -4)

Reorder the terms:
-10 + 2x = 5(-4 + x)
-10 + 2x = (-4 * 5 + x * 5)
-10 + 2x = (-20 + 5x)

Solving
-10 + 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.
-10 + 2x + -5x = -20 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-10 + -3x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + -3x = -20 + 0
-10 + -3x = -20

Add '10' to each side of the equation.
-10 + 10 + -3x = -20 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -20 + 10
-3x = -20 + 10

Combine like terms: -20 + 10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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