5(-4x+9)=-15(x-2)

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Solution for 5(-4x+9)=-15(x-2) equation:


Simplifying
5(-4x + 9) = -15(x + -2)

Reorder the terms:
5(9 + -4x) = -15(x + -2)
(9 * 5 + -4x * 5) = -15(x + -2)
(45 + -20x) = -15(x + -2)

Reorder the terms:
45 + -20x = -15(-2 + x)
45 + -20x = (-2 * -15 + x * -15)
45 + -20x = (30 + -15x)

Solving
45 + -20x = 30 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
45 + -20x + 15x = 30 + -15x + 15x

Combine like terms: -20x + 15x = -5x
45 + -5x = 30 + -15x + 15x

Combine like terms: -15x + 15x = 0
45 + -5x = 30 + 0
45 + -5x = 30

Add '-45' to each side of the equation.
45 + -45 + -5x = 30 + -45

Combine like terms: 45 + -45 = 0
0 + -5x = 30 + -45
-5x = 30 + -45

Combine like terms: 30 + -45 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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