15x-30(x+4)=9(x-25)

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Solution for 15x-30(x+4)=9(x-25) equation:


Simplifying
15x + -30(x + 4) = 9(x + -25)

Reorder the terms:
15x + -30(4 + x) = 9(x + -25)
15x + (4 * -30 + x * -30) = 9(x + -25)
15x + (-120 + -30x) = 9(x + -25)

Reorder the terms:
-120 + 15x + -30x = 9(x + -25)

Combine like terms: 15x + -30x = -15x
-120 + -15x = 9(x + -25)

Reorder the terms:
-120 + -15x = 9(-25 + x)
-120 + -15x = (-25 * 9 + x * 9)
-120 + -15x = (-225 + 9x)

Solving
-120 + -15x = -225 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-120 + -15x + -9x = -225 + 9x + -9x

Combine like terms: -15x + -9x = -24x
-120 + -24x = -225 + 9x + -9x

Combine like terms: 9x + -9x = 0
-120 + -24x = -225 + 0
-120 + -24x = -225

Add '120' to each side of the equation.
-120 + 120 + -24x = -225 + 120

Combine like terms: -120 + 120 = 0
0 + -24x = -225 + 120
-24x = -225 + 120

Combine like terms: -225 + 120 = -105
-24x = -105

Divide each side by '-24'.
x = 4.375

Simplifying
x = 4.375

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