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

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Solution for 6(x+3)=-5(-3x+1) equation:


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

Reorder the terms:
6(3 + x) = -5(-3x + 1)
(3 * 6 + x * 6) = -5(-3x + 1)
(18 + 6x) = -5(-3x + 1)

Reorder the terms:
18 + 6x = -5(1 + -3x)
18 + 6x = (1 * -5 + -3x * -5)
18 + 6x = (-5 + 15x)

Solving
18 + 6x = -5 + 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.
18 + 6x + -15x = -5 + 15x + -15x

Combine like terms: 6x + -15x = -9x
18 + -9x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
18 + -9x = -5 + 0
18 + -9x = -5

Add '-18' to each side of the equation.
18 + -18 + -9x = -5 + -18

Combine like terms: 18 + -18 = 0
0 + -9x = -5 + -18
-9x = -5 + -18

Combine like terms: -5 + -18 = -23
-9x = -23

Divide each side by '-9'.
x = 2.555555556

Simplifying
x = 2.555555556

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