2(x-4)=10-5x

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


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

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

Solving
-8 + 2x = 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.
-8 + 2x + 5x = 10 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-8 + 7x = 10 + -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 7x = 10 + 0
-8 + 7x = 10

Add '8' to each side of the equation.
-8 + 8 + 7x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 10 + 8
7x = 10 + 8

Combine like terms: 10 + 8 = 18
7x = 18

Divide each side by '7'.
x = 2.571428571

Simplifying
x = 2.571428571

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