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

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


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

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

Remove parenthesis around (-1 + 2x)
-1 + 2x + 3(3x + -5) = -2(2x + 1)

Reorder the terms:
-1 + 2x + 3(-5 + 3x) = -2(2x + 1)
-1 + 2x + (-5 * 3 + 3x * 3) = -2(2x + 1)
-1 + 2x + (-15 + 9x) = -2(2x + 1)

Reorder the terms:
-1 + -15 + 2x + 9x = -2(2x + 1)

Combine like terms: -1 + -15 = -16
-16 + 2x + 9x = -2(2x + 1)

Combine like terms: 2x + 9x = 11x
-16 + 11x = -2(2x + 1)

Reorder the terms:
-16 + 11x = -2(1 + 2x)
-16 + 11x = (1 * -2 + 2x * -2)
-16 + 11x = (-2 + -4x)

Solving
-16 + 11x = -2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-16 + 11x + 4x = -2 + -4x + 4x

Combine like terms: 11x + 4x = 15x
-16 + 15x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-16 + 15x = -2 + 0
-16 + 15x = -2

Add '16' to each side of the equation.
-16 + 16 + 15x = -2 + 16

Combine like terms: -16 + 16 = 0
0 + 15x = -2 + 16
15x = -2 + 16

Combine like terms: -2 + 16 = 14
15x = 14

Divide each side by '15'.
x = 0.9333333333

Simplifying
x = 0.9333333333

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