9(x+4)-(2x-3)=7

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Solution for 9(x+4)-(2x-3)=7 equation:


Simplifying
9(x + 4) + -1(2x + -3) = 7

Reorder the terms:
9(4 + x) + -1(2x + -3) = 7
(4 * 9 + x * 9) + -1(2x + -3) = 7
(36 + 9x) + -1(2x + -3) = 7

Reorder the terms:
36 + 9x + -1(-3 + 2x) = 7
36 + 9x + (-3 * -1 + 2x * -1) = 7
36 + 9x + (3 + -2x) = 7

Reorder the terms:
36 + 3 + 9x + -2x = 7

Combine like terms: 36 + 3 = 39
39 + 9x + -2x = 7

Combine like terms: 9x + -2x = 7x
39 + 7x = 7

Solving
39 + 7x = 7

Solving for variable 'x'.

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

Add '-39' to each side of the equation.
39 + -39 + 7x = 7 + -39

Combine like terms: 39 + -39 = 0
0 + 7x = 7 + -39
7x = 7 + -39

Combine like terms: 7 + -39 = -32
7x = -32

Divide each side by '7'.
x = -4.571428571

Simplifying
x = -4.571428571

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