9(x+4)-(2x-7)=2

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Solution for 9(x+4)-(2x-7)=2 equation:


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

Reorder the terms:
9(4 + x) + -1(2x + -7) = 2
(4 * 9 + x * 9) + -1(2x + -7) = 2
(36 + 9x) + -1(2x + -7) = 2

Reorder the terms:
36 + 9x + -1(-7 + 2x) = 2
36 + 9x + (-7 * -1 + 2x * -1) = 2
36 + 9x + (7 + -2x) = 2

Reorder the terms:
36 + 7 + 9x + -2x = 2

Combine like terms: 36 + 7 = 43
43 + 9x + -2x = 2

Combine like terms: 9x + -2x = 7x
43 + 7x = 2

Solving
43 + 7x = 2

Solving for variable 'x'.

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

Add '-43' to each side of the equation.
43 + -43 + 7x = 2 + -43

Combine like terms: 43 + -43 = 0
0 + 7x = 2 + -43
7x = 2 + -43

Combine like terms: 2 + -43 = -41
7x = -41

Divide each side by '7'.
x = -5.857142857

Simplifying
x = -5.857142857

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