10(20-x)=8(2x-1)

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Solution for 10(20-x)=8(2x-1) equation:


Simplifying
10(20 + -1x) = 8(2x + -1)
(20 * 10 + -1x * 10) = 8(2x + -1)
(200 + -10x) = 8(2x + -1)

Reorder the terms:
200 + -10x = 8(-1 + 2x)
200 + -10x = (-1 * 8 + 2x * 8)
200 + -10x = (-8 + 16x)

Solving
200 + -10x = -8 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
200 + -10x + -16x = -8 + 16x + -16x

Combine like terms: -10x + -16x = -26x
200 + -26x = -8 + 16x + -16x

Combine like terms: 16x + -16x = 0
200 + -26x = -8 + 0
200 + -26x = -8

Add '-200' to each side of the equation.
200 + -200 + -26x = -8 + -200

Combine like terms: 200 + -200 = 0
0 + -26x = -8 + -200
-26x = -8 + -200

Combine like terms: -8 + -200 = -208
-26x = -208

Divide each side by '-26'.
x = 8

Simplifying
x = 8

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