68-(3X+15)=3(X+6)+X

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Solution for 68-(3X+15)=3(X+6)+X equation: 


Simplifying
68 + -1(3X + 15) = 3(X + 6) + X

Reorder the terms:
68 + -1(15 + 3X) = 3(X + 6) + X
68 + (15 * -1 + 3X * -1) = 3(X + 6) + X
68 + (-15 + -3X) = 3(X + 6) + X

Combine like terms: 68 + -15 = 53
53 + -3X = 3(X + 6) + X

Reorder the terms:
53 + -3X = 3(6 + X) + X
53 + -3X = (6 * 3 + X * 3) + X
53 + -3X = (18 + 3X) + X

Combine like terms: 3X + X = 4X
53 + -3X = 18 + 4X

Solving
53 + -3X = 18 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
53 + -3X + -4X = 18 + 4X + -4X

Combine like terms: -3X + -4X = -7X
53 + -7X = 18 + 4X + -4X

Combine like terms: 4X + -4X = 0
53 + -7X = 18 + 0
53 + -7X = 18

Add '-53' to each side of the equation.
53 + -53 + -7X = 18 + -53

Combine like terms: 53 + -53 = 0
0 + -7X = 18 + -53
-7X = 18 + -53

Combine like terms: 18 + -53 = -35
-7X = -35

Divide each side by '-7'.
X = 5

Simplifying
X = 5

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