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

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


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

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

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

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

Combine like terms: 8x + -5x = 3x
-20 + 3x = 10 + 5x + -5x

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

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

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

Combine like terms: 10 + 20 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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