46-(2x+4)=(x+7)+x

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Solution for 46-(2x+4)=(x+7)+x equation:


Simplifying
46 + -1(2x + 4) = (x + 7) + x

Reorder the terms:
46 + -1(4 + 2x) = (x + 7) + x
46 + (4 * -1 + 2x * -1) = (x + 7) + x
46 + (-4 + -2x) = (x + 7) + x

Combine like terms: 46 + -4 = 42
42 + -2x = (x + 7) + x

Reorder the terms:
42 + -2x = (7 + x) + x

Remove parenthesis around (7 + x)
42 + -2x = 7 + x + x

Combine like terms: x + x = 2x
42 + -2x = 7 + 2x

Solving
42 + -2x = 7 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
42 + -2x + -2x = 7 + 2x + -2x

Combine like terms: -2x + -2x = -4x
42 + -4x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
42 + -4x = 7 + 0
42 + -4x = 7

Add '-42' to each side of the equation.
42 + -42 + -4x = 7 + -42

Combine like terms: 42 + -42 = 0
0 + -4x = 7 + -42
-4x = 7 + -42

Combine like terms: 7 + -42 = -35
-4x = -35

Divide each side by '-4'.
x = 8.75

Simplifying
x = 8.75

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