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

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


Simplifying
2(2x + -5) = 4(8 + -1x)

Reorder the terms:
2(-5 + 2x) = 4(8 + -1x)
(-5 * 2 + 2x * 2) = 4(8 + -1x)
(-10 + 4x) = 4(8 + -1x)
-10 + 4x = (8 * 4 + -1x * 4)
-10 + 4x = (32 + -4x)

Solving
-10 + 4x = 32 + -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.
-10 + 4x + 4x = 32 + -4x + 4x

Combine like terms: 4x + 4x = 8x
-10 + 8x = 32 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 8x = 32 + 0
-10 + 8x = 32

Add '10' to each side of the equation.
-10 + 10 + 8x = 32 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 32 + 10
8x = 32 + 10

Combine like terms: 32 + 10 = 42
8x = 42

Divide each side by '8'.
x = 5.25

Simplifying
x = 5.25

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