48-(2x+6)=4x+28+x

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Solution for 48-(2x+6)=4x+28+x equation:


Simplifying
48 + -1(2x + 6) = 4x + 28 + x

Reorder the terms:
48 + -1(6 + 2x) = 4x + 28 + x
48 + (6 * -1 + 2x * -1) = 4x + 28 + x
48 + (-6 + -2x) = 4x + 28 + x

Combine like terms: 48 + -6 = 42
42 + -2x = 4x + 28 + x

Reorder the terms:
42 + -2x = 28 + 4x + x

Combine like terms: 4x + x = 5x
42 + -2x = 28 + 5x

Solving
42 + -2x = 28 + 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 + -2x + -5x = 28 + 5x + -5x

Combine like terms: -2x + -5x = -7x
42 + -7x = 28 + 5x + -5x

Combine like terms: 5x + -5x = 0
42 + -7x = 28 + 0
42 + -7x = 28

Add '-42' to each side of the equation.
42 + -42 + -7x = 28 + -42

Combine like terms: 42 + -42 = 0
0 + -7x = 28 + -42
-7x = 28 + -42

Combine like terms: 28 + -42 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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