7(x+4)-2x-1=6

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Solution for 7(x+4)-2x-1=6 equation:


Simplifying
7(x + 4) + -2x + -1 = 6

Reorder the terms:
7(4 + x) + -2x + -1 = 6
(4 * 7 + x * 7) + -2x + -1 = 6
(28 + 7x) + -2x + -1 = 6

Reorder the terms:
28 + -1 + 7x + -2x = 6

Combine like terms: 28 + -1 = 27
27 + 7x + -2x = 6

Combine like terms: 7x + -2x = 5x
27 + 5x = 6

Solving
27 + 5x = 6

Solving for variable 'x'.

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

Add '-27' to each side of the equation.
27 + -27 + 5x = 6 + -27

Combine like terms: 27 + -27 = 0
0 + 5x = 6 + -27
5x = 6 + -27

Combine like terms: 6 + -27 = -21
5x = -21

Divide each side by '5'.
x = -4.2

Simplifying
x = -4.2

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