59-(6X+15)=6(X+3)+X

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Solution for 59-(6X+15)=6(X+3)+X equation:


Simplifying
59 + -1(6X + 15) = 6(X + 3) + X

Reorder the terms:
59 + -1(15 + 6X) = 6(X + 3) + X
59 + (15 * -1 + 6X * -1) = 6(X + 3) + X
59 + (-15 + -6X) = 6(X + 3) + X

Combine like terms: 59 + -15 = 44
44 + -6X = 6(X + 3) + X

Reorder the terms:
44 + -6X = 6(3 + X) + X
44 + -6X = (3 * 6 + X * 6) + X
44 + -6X = (18 + 6X) + X

Combine like terms: 6X + X = 7X
44 + -6X = 18 + 7X

Solving
44 + -6X = 18 + 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
44 + -6X + -7X = 18 + 7X + -7X

Combine like terms: -6X + -7X = -13X
44 + -13X = 18 + 7X + -7X

Combine like terms: 7X + -7X = 0
44 + -13X = 18 + 0
44 + -13X = 18

Add '-44' to each side of the equation.
44 + -44 + -13X = 18 + -44

Combine like terms: 44 + -44 = 0
0 + -13X = 18 + -44
-13X = 18 + -44

Combine like terms: 18 + -44 = -26
-13X = -26

Divide each side by '-13'.
X = 2

Simplifying
X = 2

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