-2(3x-1)+9x=-5(x+2)

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Solution for -2(3x-1)+9x=-5(x+2) equation:


Simplifying
-2(3x + -1) + 9x = -5(x + 2)

Reorder the terms:
-2(-1 + 3x) + 9x = -5(x + 2)
(-1 * -2 + 3x * -2) + 9x = -5(x + 2)
(2 + -6x) + 9x = -5(x + 2)

Combine like terms: -6x + 9x = 3x
2 + 3x = -5(x + 2)

Reorder the terms:
2 + 3x = -5(2 + x)
2 + 3x = (2 * -5 + x * -5)
2 + 3x = (-10 + -5x)

Solving
2 + 3x = -10 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + 3x + 5x = -10 + -5x + 5x

Combine like terms: 3x + 5x = 8x
2 + 8x = -10 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 8x = -10 + 0
2 + 8x = -10

Add '-2' to each side of the equation.
2 + -2 + 8x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = -10 + -2
8x = -10 + -2

Combine like terms: -10 + -2 = -12
8x = -12

Divide each side by '8'.
x = -1.5

Simplifying
x = -1.5

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