10+4(X-3)=6-8(2-X)

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Solution for 10+4(X-3)=6-8(2-X) equation:


Simplifying
10 + 4(X + -3) = 6 + -8(2 + -1X)

Reorder the terms:
10 + 4(-3 + X) = 6 + -8(2 + -1X)
10 + (-3 * 4 + X * 4) = 6 + -8(2 + -1X)
10 + (-12 + 4X) = 6 + -8(2 + -1X)

Combine like terms: 10 + -12 = -2
-2 + 4X = 6 + -8(2 + -1X)
-2 + 4X = 6 + (2 * -8 + -1X * -8)
-2 + 4X = 6 + (-16 + 8X)

Combine like terms: 6 + -16 = -10
-2 + 4X = -10 + 8X

Solving
-2 + 4X = -10 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
-2 + 4X + -8X = -10 + 8X + -8X

Combine like terms: 4X + -8X = -4X
-2 + -4X = -10 + 8X + -8X

Combine like terms: 8X + -8X = 0
-2 + -4X = -10 + 0
-2 + -4X = -10

Add '2' to each side of the equation.
-2 + 2 + -4X = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -4X = -10 + 2
-4X = -10 + 2

Combine like terms: -10 + 2 = -8
-4X = -8

Divide each side by '-4'.
X = 2

Simplifying
X = 2

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