2(4x-5)=x+10-x

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Solution for 2(4x-5)=x+10-x equation:


Simplifying
2(4x + -5) = x + 10 + -1x

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

Reorder the terms:
-10 + 8x = 10 + x + -1x

Combine like terms: x + -1x = 0
-10 + 8x = 10 + 0
-10 + 8x = 10

Solving
-10 + 8x = 10

Solving for variable 'x'.

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

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

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

Combine like terms: 10 + 10 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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