60-(3x+4)=4(x+6)+x

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Solution for 60-(3x+4)=4(x+6)+x equation:


Simplifying
60 + -1(3x + 4) = 4(x + 6) + x

Reorder the terms:
60 + -1(4 + 3x) = 4(x + 6) + x
60 + (4 * -1 + 3x * -1) = 4(x + 6) + x
60 + (-4 + -3x) = 4(x + 6) + x

Combine like terms: 60 + -4 = 56
56 + -3x = 4(x + 6) + x

Reorder the terms:
56 + -3x = 4(6 + x) + x
56 + -3x = (6 * 4 + x * 4) + x
56 + -3x = (24 + 4x) + x

Combine like terms: 4x + x = 5x
56 + -3x = 24 + 5x

Solving
56 + -3x = 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.
56 + -3x + -5x = 24 + 5x + -5x

Combine like terms: -3x + -5x = -8x
56 + -8x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
56 + -8x = 24 + 0
56 + -8x = 24

Add '-56' to each side of the equation.
56 + -56 + -8x = 24 + -56

Combine like terms: 56 + -56 = 0
0 + -8x = 24 + -56
-8x = 24 + -56

Combine like terms: 24 + -56 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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