7(x+4)-(2x-5)=9

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Solution for 7(x+4)-(2x-5)=9 equation:


Simplifying
7(x + 4) + -1(2x + -5) = 9

Reorder the terms:
7(4 + x) + -1(2x + -5) = 9
(4 * 7 + x * 7) + -1(2x + -5) = 9
(28 + 7x) + -1(2x + -5) = 9

Reorder the terms:
28 + 7x + -1(-5 + 2x) = 9
28 + 7x + (-5 * -1 + 2x * -1) = 9
28 + 7x + (5 + -2x) = 9

Reorder the terms:
28 + 5 + 7x + -2x = 9

Combine like terms: 28 + 5 = 33
33 + 7x + -2x = 9

Combine like terms: 7x + -2x = 5x
33 + 5x = 9

Solving
33 + 5x = 9

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 5x = 9 + -33

Combine like terms: 33 + -33 = 0
0 + 5x = 9 + -33
5x = 9 + -33

Combine like terms: 9 + -33 = -24
5x = -24

Divide each side by '5'.
x = -4.8

Simplifying
x = -4.8

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