5(2x-5)=4(x+4)+8

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Solution for 5(2x-5)=4(x+4)+8 equation:


Simplifying
5(2x + -5) = 4(x + 4) + 8

Reorder the terms:
5(-5 + 2x) = 4(x + 4) + 8
(-5 * 5 + 2x * 5) = 4(x + 4) + 8
(-25 + 10x) = 4(x + 4) + 8

Reorder the terms:
-25 + 10x = 4(4 + x) + 8
-25 + 10x = (4 * 4 + x * 4) + 8
-25 + 10x = (16 + 4x) + 8

Reorder the terms:
-25 + 10x = 16 + 8 + 4x

Combine like terms: 16 + 8 = 24
-25 + 10x = 24 + 4x

Solving
-25 + 10x = 24 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-25 + 10x + -4x = 24 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-25 + 6x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-25 + 6x = 24 + 0
-25 + 6x = 24

Add '25' to each side of the equation.
-25 + 25 + 6x = 24 + 25

Combine like terms: -25 + 25 = 0
0 + 6x = 24 + 25
6x = 24 + 25

Combine like terms: 24 + 25 = 49
6x = 49

Divide each side by '6'.
x = 8.166666667

Simplifying
x = 8.166666667

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