(3x-9)-(15x-25)=-32

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Solution for (3x-9)-(15x-25)=-32 equation:


Simplifying
(3x + -9) + -1(15x + -25) = -32

Reorder the terms:
(-9 + 3x) + -1(15x + -25) = -32

Remove parenthesis around (-9 + 3x)
-9 + 3x + -1(15x + -25) = -32

Reorder the terms:
-9 + 3x + -1(-25 + 15x) = -32
-9 + 3x + (-25 * -1 + 15x * -1) = -32
-9 + 3x + (25 + -15x) = -32

Reorder the terms:
-9 + 25 + 3x + -15x = -32

Combine like terms: -9 + 25 = 16
16 + 3x + -15x = -32

Combine like terms: 3x + -15x = -12x
16 + -12x = -32

Solving
16 + -12x = -32

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 + -12x = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -12x = -32 + -16
-12x = -32 + -16

Combine like terms: -32 + -16 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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