(-5)(3x+1)=(3)(3x-7)

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Solution for (-5)(3x+1)=(3)(3x-7) equation:


Simplifying
(-5)(3x + 1) = (3)(3x + -7)

Reorder the terms:
-5(1 + 3x) = (3)(3x + -7)
(1 * -5 + 3x * -5) = (3)(3x + -7)
(-5 + -15x) = (3)(3x + -7)

Reorder the terms:
-5 + -15x = 3(-7 + 3x)
-5 + -15x = (-7 * 3 + 3x * 3)
-5 + -15x = (-21 + 9x)

Solving
-5 + -15x = -21 + 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.
-5 + -15x + -9x = -21 + 9x + -9x

Combine like terms: -15x + -9x = -24x
-5 + -24x = -21 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -24x = -21 + 0
-5 + -24x = -21

Add '5' to each side of the equation.
-5 + 5 + -24x = -21 + 5

Combine like terms: -5 + 5 = 0
0 + -24x = -21 + 5
-24x = -21 + 5

Combine like terms: -21 + 5 = -16
-24x = -16

Divide each side by '-24'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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