7(x+3)-(2x-9)=2

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Solution for 7(x+3)-(2x-9)=2 equation:


Simplifying
7(x + 3) + -1(2x + -9) = 2

Reorder the terms:
7(3 + x) + -1(2x + -9) = 2
(3 * 7 + x * 7) + -1(2x + -9) = 2
(21 + 7x) + -1(2x + -9) = 2

Reorder the terms:
21 + 7x + -1(-9 + 2x) = 2
21 + 7x + (-9 * -1 + 2x * -1) = 2
21 + 7x + (9 + -2x) = 2

Reorder the terms:
21 + 9 + 7x + -2x = 2

Combine like terms: 21 + 9 = 30
30 + 7x + -2x = 2

Combine like terms: 7x + -2x = 5x
30 + 5x = 2

Solving
30 + 5x = 2

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 5x = 2 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = 2 + -30
5x = 2 + -30

Combine like terms: 2 + -30 = -28
5x = -28

Divide each side by '5'.
x = -5.6

Simplifying
x = -5.6

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