63-(4x+9)=4(x+9)+x

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Solution for 63-(4x+9)=4(x+9)+x equation:


Simplifying
63 + -1(4x + 9) = 4(x + 9) + x

Reorder the terms:
63 + -1(9 + 4x) = 4(x + 9) + x
63 + (9 * -1 + 4x * -1) = 4(x + 9) + x
63 + (-9 + -4x) = 4(x + 9) + x

Combine like terms: 63 + -9 = 54
54 + -4x = 4(x + 9) + x

Reorder the terms:
54 + -4x = 4(9 + x) + x
54 + -4x = (9 * 4 + x * 4) + x
54 + -4x = (36 + 4x) + x

Combine like terms: 4x + x = 5x
54 + -4x = 36 + 5x

Solving
54 + -4x = 36 + 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.
54 + -4x + -5x = 36 + 5x + -5x

Combine like terms: -4x + -5x = -9x
54 + -9x = 36 + 5x + -5x

Combine like terms: 5x + -5x = 0
54 + -9x = 36 + 0
54 + -9x = 36

Add '-54' to each side of the equation.
54 + -54 + -9x = 36 + -54

Combine like terms: 54 + -54 = 0
0 + -9x = 36 + -54
-9x = 36 + -54

Combine like terms: 36 + -54 = -18
-9x = -18

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

Simplifying
x = 2

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