10-2(X+3)=8+3(2X+15)

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Solution for 10-2(X+3)=8+3(2X+15) equation: 


Simplifying
10 + -2(X + 3) = 8 + 3(2X + 15)

Reorder the terms:
10 + -2(3 + X) = 8 + 3(2X + 15)
10 + (3 * -2 + X * -2) = 8 + 3(2X + 15)
10 + (-6 + -2X) = 8 + 3(2X + 15)

Combine like terms: 10 + -6 = 4
4 + -2X = 8 + 3(2X + 15)

Reorder the terms:
4 + -2X = 8 + 3(15 + 2X)
4 + -2X = 8 + (15 * 3 + 2X * 3)
4 + -2X = 8 + (45 + 6X)

Combine like terms: 8 + 45 = 53
4 + -2X = 53 + 6X

Solving
4 + -2X = 53 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
4 + -2X + -6X = 53 + 6X + -6X

Combine like terms: -2X + -6X = -8X
4 + -8X = 53 + 6X + -6X

Combine like terms: 6X + -6X = 0
4 + -8X = 53 + 0
4 + -8X = 53

Add '-4' to each side of the equation.
4 + -4 + -8X = 53 + -4

Combine like terms: 4 + -4 = 0
0 + -8X = 53 + -4
-8X = 53 + -4

Combine like terms: 53 + -4 = 49
-8X = 49

Divide each side by '-8'.
X = -6.125

Simplifying
X = -6.125

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