2(3X+3)-4(5X-3)=-3X-5X

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Solution for 2(3X+3)-4(5X-3)=-3X-5X equation: 


Simplifying
2(3X + 3) + -4(5X + -3) = -3X + -5X

Reorder the terms:
2(3 + 3X) + -4(5X + -3) = -3X + -5X
(3 * 2 + 3X * 2) + -4(5X + -3) = -3X + -5X
(6 + 6X) + -4(5X + -3) = -3X + -5X

Reorder the terms:
6 + 6X + -4(-3 + 5X) = -3X + -5X
6 + 6X + (-3 * -4 + 5X * -4) = -3X + -5X
6 + 6X + (12 + -20X) = -3X + -5X

Reorder the terms:
6 + 12 + 6X + -20X = -3X + -5X

Combine like terms: 6 + 12 = 18
18 + 6X + -20X = -3X + -5X

Combine like terms: 6X + -20X = -14X
18 + -14X = -3X + -5X

Combine like terms: -3X + -5X = -8X
18 + -14X = -8X

Solving
18 + -14X = -8X

Solving for variable 'X'.

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

Add '8X' to each side of the equation.
18 + -14X + 8X = -8X + 8X

Combine like terms: -14X + 8X = -6X
18 + -6X = -8X + 8X

Combine like terms: -8X + 8X = 0
18 + -6X = 0

Add '-18' to each side of the equation.
18 + -18 + -6X = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -6X = 0 + -18
-6X = 0 + -18

Combine like terms: 0 + -18 = -18
-6X = -18

Divide each side by '-6'.
X = 3

Simplifying
X = 3

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