2(4x-5)=5x+20

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Solution for 2(4x-5)=5x+20 equation:


Simplifying
2(4x + -5) = 5x + 20

Reorder the terms:
2(-5 + 4x) = 5x + 20
(-5 * 2 + 4x * 2) = 5x + 20
(-10 + 8x) = 5x + 20

Reorder the terms:
-10 + 8x = 20 + 5x

Solving
-10 + 8x = 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 + 8x + -5x = 20 + 5x + -5x

Combine like terms: 8x + -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 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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