60-(4x+9)=4(x+6)+x

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Solution for 60-(4x+9)=4(x+6)+x equation:


Simplifying
60 + -1(4x + 9) = 4(x + 6) + x

Reorder the terms:
60 + -1(9 + 4x) = 4(x + 6) + x
60 + (9 * -1 + 4x * -1) = 4(x + 6) + x
60 + (-9 + -4x) = 4(x + 6) + x

Combine like terms: 60 + -9 = 51
51 + -4x = 4(x + 6) + x

Reorder the terms:
51 + -4x = 4(6 + x) + x
51 + -4x = (6 * 4 + x * 4) + x
51 + -4x = (24 + 4x) + x

Combine like terms: 4x + x = 5x
51 + -4x = 24 + 5x

Solving
51 + -4x = 24 + 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.
51 + -4x + -5x = 24 + 5x + -5x

Combine like terms: -4x + -5x = -9x
51 + -9x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
51 + -9x = 24 + 0
51 + -9x = 24

Add '-51' to each side of the equation.
51 + -51 + -9x = 24 + -51

Combine like terms: 51 + -51 = 0
0 + -9x = 24 + -51
-9x = 24 + -51

Combine like terms: 24 + -51 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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