(3+3)(6+8X)=10-3.5(X+1)

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Solution for (3+3)(6+8X)=10-3.5(X+1) equation: 


Simplifying
(3 + 3)(6 + 8X) = 10 + -3.5(X + 1)

Combine like terms: 3 + 3 = 6
(6)(6 + 8X) = 10 + -3.5(X + 1)
(6 * 6 + 8X * 6) = 10 + -3.5(X + 1)
(36 + 48X) = 10 + -3.5(X + 1)

Reorder the terms:
36 + 48X = 10 + -3.5(1 + X)
36 + 48X = 10 + (1 * -3.5 + X * -3.5)
36 + 48X = 10 + (-3.5 + -3.5X)

Combine like terms: 10 + -3.5 = 6.5
36 + 48X = 6.5 + -3.5X

Solving
36 + 48X = 6.5 + -3.5X

Solving for variable 'X'.

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

Add '3.5X' to each side of the equation.
36 + 48X + 3.5X = 6.5 + -3.5X + 3.5X

Combine like terms: 48X + 3.5X = 51.5X
36 + 51.5X = 6.5 + -3.5X + 3.5X

Combine like terms: -3.5X + 3.5X = 0.0
36 + 51.5X = 6.5 + 0.0
36 + 51.5X = 6.5

Add '-36' to each side of the equation.
36 + -36 + 51.5X = 6.5 + -36

Combine like terms: 36 + -36 = 0
0 + 51.5X = 6.5 + -36
51.5X = 6.5 + -36

Combine like terms: 6.5 + -36 = -29.5
51.5X = -29.5

Divide each side by '51.5'.
X = -0.572815534

Simplifying
X = -0.572815534

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