-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 + -1(-7))

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

Multiply -1 * -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 = -6x
-5 + -6x = 21 + -9x + 9x

Combine like terms: -9x + 9x = 0
-5 + -6x = 21 + 0
-5 + -6x = 21

Add '5' to each side of the equation.
-5 + 5 + -6x = 21 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 21 + 5
-6x = 21 + 5

Combine like terms: 21 + 5 = 26
-6x = 26

Divide each side by '-6'.
x = -4.333333333

Simplifying
x = -4.333333333

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