3(-2x-2)=5(2x+9)

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Solution for 3(-2x-2)=5(2x+9) equation:


Simplifying
3(-2x + -2) = 5(2x + 9)

Reorder the terms:
3(-2 + -2x) = 5(2x + 9)
(-2 * 3 + -2x * 3) = 5(2x + 9)
(-6 + -6x) = 5(2x + 9)

Reorder the terms:
-6 + -6x = 5(9 + 2x)
-6 + -6x = (9 * 5 + 2x * 5)
-6 + -6x = (45 + 10x)

Solving
-6 + -6x = 45 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-6 + -6x + -10x = 45 + 10x + -10x

Combine like terms: -6x + -10x = -16x
-6 + -16x = 45 + 10x + -10x

Combine like terms: 10x + -10x = 0
-6 + -16x = 45 + 0
-6 + -16x = 45

Add '6' to each side of the equation.
-6 + 6 + -16x = 45 + 6

Combine like terms: -6 + 6 = 0
0 + -16x = 45 + 6
-16x = 45 + 6

Combine like terms: 45 + 6 = 51
-16x = 51

Divide each side by '-16'.
x = -3.1875

Simplifying
x = -3.1875

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