7(x+4)=4x+6+x

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Solution for 7(x+4)=4x+6+x equation:


Simplifying
7(x + 4) = 4x + 6 + x

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

Reorder the terms:
28 + 7x = 6 + 4x + x

Combine like terms: 4x + x = 5x
28 + 7x = 6 + 5x

Solving
28 + 7x = 6 + 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.
28 + 7x + -5x = 6 + 5x + -5x

Combine like terms: 7x + -5x = 2x
28 + 2x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
28 + 2x = 6 + 0
28 + 2x = 6

Add '-28' to each side of the equation.
28 + -28 + 2x = 6 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = 6 + -28
2x = 6 + -28

Combine like terms: 6 + -28 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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