7(x+1)-(2x-9)=2

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Solution for 7(x+1)-(2x-9)=2 equation:


Simplifying
7(x + 1) + -1(2x + -9) = 2

Reorder the terms:
7(1 + x) + -1(2x + -9) = 2
(1 * 7 + x * 7) + -1(2x + -9) = 2
(7 + 7x) + -1(2x + -9) = 2

Reorder the terms:
7 + 7x + -1(-9 + 2x) = 2
7 + 7x + (-9 * -1 + 2x * -1) = 2
7 + 7x + (9 + -2x) = 2

Reorder the terms:
7 + 9 + 7x + -2x = 2

Combine like terms: 7 + 9 = 16
16 + 7x + -2x = 2

Combine like terms: 7x + -2x = 5x
16 + 5x = 2

Solving
16 + 5x = 2

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 5x = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 2 + -16
5x = 2 + -16

Combine like terms: 2 + -16 = -14
5x = -14

Divide each side by '5'.
x = -2.8

Simplifying
x = -2.8

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