3x+7(x+4)=4x-28+6x+1x

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Solution for 3x+7(x+4)=4x-28+6x+1x equation:


Simplifying
3x + 7(x + 4) = 4x + -28 + 6x + 1x

Reorder the terms:
3x + 7(4 + x) = 4x + -28 + 6x + 1x
3x + (4 * 7 + x * 7) = 4x + -28 + 6x + 1x
3x + (28 + 7x) = 4x + -28 + 6x + 1x

Reorder the terms:
28 + 3x + 7x = 4x + -28 + 6x + 1x

Combine like terms: 3x + 7x = 10x
28 + 10x = 4x + -28 + 6x + 1x

Reorder the terms:
28 + 10x = -28 + 4x + 6x + 1x

Combine like terms: 4x + 6x = 10x
28 + 10x = -28 + 10x + 1x

Combine like terms: 10x + 1x = 11x
28 + 10x = -28 + 11x

Solving
28 + 10x = -28 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
28 + 10x + -11x = -28 + 11x + -11x

Combine like terms: 10x + -11x = -1x
28 + -1x = -28 + 11x + -11x

Combine like terms: 11x + -11x = 0
28 + -1x = -28 + 0
28 + -1x = -28

Add '-28' to each side of the equation.
28 + -28 + -1x = -28 + -28

Combine like terms: 28 + -28 = 0
0 + -1x = -28 + -28
-1x = -28 + -28

Combine like terms: -28 + -28 = -56
-1x = -56

Divide each side by '-1'.
x = 56

Simplifying
x = 56

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