58-(5X+4)=5(X+2)+X

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Solution for 58-(5X+4)=5(X+2)+X equation:


Simplifying
58 + -1(5X + 4) = 5(X + 2) + X

Reorder the terms:
58 + -1(4 + 5X) = 5(X + 2) + X
58 + (4 * -1 + 5X * -1) = 5(X + 2) + X
58 + (-4 + -5X) = 5(X + 2) + X

Combine like terms: 58 + -4 = 54
54 + -5X = 5(X + 2) + X

Reorder the terms:
54 + -5X = 5(2 + X) + X
54 + -5X = (2 * 5 + X * 5) + X
54 + -5X = (10 + 5X) + X

Combine like terms: 5X + X = 6X
54 + -5X = 10 + 6X

Solving
54 + -5X = 10 + 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.
54 + -5X + -6X = 10 + 6X + -6X

Combine like terms: -5X + -6X = -11X
54 + -11X = 10 + 6X + -6X

Combine like terms: 6X + -6X = 0
54 + -11X = 10 + 0
54 + -11X = 10

Add '-54' to each side of the equation.
54 + -54 + -11X = 10 + -54

Combine like terms: 54 + -54 = 0
0 + -11X = 10 + -54
-11X = 10 + -54

Combine like terms: 10 + -54 = -44
-11X = -44

Divide each side by '-11'.
X = 4

Simplifying
X = 4

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