46-(4x+4)=4(x+6)+x

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Solution for 46-(4x+4)=4(x+6)+x equation:


Simplifying
46 + -1(4x + 4) = 4(x + 6) + x

Reorder the terms:
46 + -1(4 + 4x) = 4(x + 6) + x
46 + (4 * -1 + 4x * -1) = 4(x + 6) + x
46 + (-4 + -4x) = 4(x + 6) + x

Combine like terms: 46 + -4 = 42
42 + -4x = 4(x + 6) + x

Reorder the terms:
42 + -4x = 4(6 + x) + x
42 + -4x = (6 * 4 + x * 4) + x
42 + -4x = (24 + 4x) + x

Combine like terms: 4x + x = 5x
42 + -4x = 24 + 5x

Solving
42 + -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.
42 + -4x + -5x = 24 + 5x + -5x

Combine like terms: -4x + -5x = -9x
42 + -9x = 24 + 5x + -5x

Combine like terms: 5x + -5x = 0
42 + -9x = 24 + 0
42 + -9x = 24

Add '-42' to each side of the equation.
42 + -42 + -9x = 24 + -42

Combine like terms: 42 + -42 = 0
0 + -9x = 24 + -42
-9x = 24 + -42

Combine like terms: 24 + -42 = -18
-9x = -18

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

Simplifying
x = 2

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