10-(8X-2)=5X+2(4X+1)

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Solution for 10-(8X-2)=5X+2(4X+1) equation:


Simplifying
10 + -1(8X + -2) = 5X + 2(4X + 1)

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

Combine like terms: 10 + 2 = 12
12 + -8X = 5X + 2(4X + 1)

Reorder the terms:
12 + -8X = 5X + 2(1 + 4X)
12 + -8X = 5X + (1 * 2 + 4X * 2)
12 + -8X = 5X + (2 + 8X)

Reorder the terms:
12 + -8X = 2 + 5X + 8X

Combine like terms: 5X + 8X = 13X
12 + -8X = 2 + 13X

Solving
12 + -8X = 2 + 13X

Solving for variable 'X'.

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

Add '-13X' to each side of the equation.
12 + -8X + -13X = 2 + 13X + -13X

Combine like terms: -8X + -13X = -21X
12 + -21X = 2 + 13X + -13X

Combine like terms: 13X + -13X = 0
12 + -21X = 2 + 0
12 + -21X = 2

Add '-12' to each side of the equation.
12 + -12 + -21X = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -21X = 2 + -12
-21X = 2 + -12

Combine like terms: 2 + -12 = -10
-21X = -10

Divide each side by '-21'.
X = 0.4761904762

Simplifying
X = 0.4761904762

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