48-(4X+10)=4(X+5)+X

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Solution for 48-(4X+10)=4(X+5)+X equation: 


Simplifying
48 + -1(4X + 10) = 4(X + 5) + X

Reorder the terms:
48 + -1(10 + 4X) = 4(X + 5) + X
48 + (10 * -1 + 4X * -1) = 4(X + 5) + X
48 + (-10 + -4X) = 4(X + 5) + X

Combine like terms: 48 + -10 = 38
38 + -4X = 4(X + 5) + X

Reorder the terms:
38 + -4X = 4(5 + X) + X
38 + -4X = (5 * 4 + X * 4) + X
38 + -4X = (20 + 4X) + X

Combine like terms: 4X + X = 5X
38 + -4X = 20 + 5X

Solving
38 + -4X = 20 + 5X

Solving for variable 'X'.

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

Add '-5X' to each side of the equation.
38 + -4X + -5X = 20 + 5X + -5X

Combine like terms: -4X + -5X = -9X
38 + -9X = 20 + 5X + -5X

Combine like terms: 5X + -5X = 0
38 + -9X = 20 + 0
38 + -9X = 20

Add '-38' to each side of the equation.
38 + -38 + -9X = 20 + -38

Combine like terms: 38 + -38 = 0
0 + -9X = 20 + -38
-9X = 20 + -38

Combine like terms: 20 + -38 = -18
-9X = -18

Divide each side by '-9'.
X = 2

Simplifying
X = 2

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