63-(3x+13)=3(x+5)+x

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Solution for 63-(3x+13)=3(x+5)+x equation: 


Simplifying
63 + -1(3x + 13) = 3(x + 5) + x

Reorder the terms:
63 + -1(13 + 3x) = 3(x + 5) + x
63 + (13 * -1 + 3x * -1) = 3(x + 5) + x
63 + (-13 + -3x) = 3(x + 5) + x

Combine like terms: 63 + -13 = 50
50 + -3x = 3(x + 5) + x

Reorder the terms:
50 + -3x = 3(5 + x) + x
50 + -3x = (5 * 3 + x * 3) + x
50 + -3x = (15 + 3x) + x

Combine like terms: 3x + x = 4x
50 + -3x = 15 + 4x

Solving
50 + -3x = 15 + 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.
50 + -3x + -4x = 15 + 4x + -4x

Combine like terms: -3x + -4x = -7x
50 + -7x = 15 + 4x + -4x

Combine like terms: 4x + -4x = 0
50 + -7x = 15 + 0
50 + -7x = 15

Add '-50' to each side of the equation.
50 + -50 + -7x = 15 + -50

Combine like terms: 50 + -50 = 0
0 + -7x = 15 + -50
-7x = 15 + -50

Combine like terms: 15 + -50 = -35
-7x = -35

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

Simplifying
x = 5

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