2(8x-5)=1(5-2x)

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Solution for 2(8x-5)=1(5-2x) equation:


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

Reorder the terms:
2(-5 + 8x) = 1(5 + -2x)
(-5 * 2 + 8x * 2) = 1(5 + -2x)
(-10 + 16x) = 1(5 + -2x)
-10 + 16x = (5 * 1 + -2x * 1)
-10 + 16x = (5 + -2x)

Solving
-10 + 16x = 5 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-10 + 16x + 2x = 5 + -2x + 2x

Combine like terms: 16x + 2x = 18x
-10 + 18x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-10 + 18x = 5 + 0
-10 + 18x = 5

Add '10' to each side of the equation.
-10 + 10 + 18x = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 18x = 5 + 10
18x = 5 + 10

Combine like terms: 5 + 10 = 15
18x = 15

Divide each side by '18'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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