6x+5-2(-3x-3)=2(x-2)

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Solution for 6x+5-2(-3x-3)=2(x-2) equation:


Simplifying
6x + 5 + -2(-3x + -3) = 2(x + -2)

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

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

Combine like terms: 5 + 6 = 11
11 + 6x + 6x = 2(x + -2)

Combine like terms: 6x + 6x = 12x
11 + 12x = 2(x + -2)

Reorder the terms:
11 + 12x = 2(-2 + x)
11 + 12x = (-2 * 2 + x * 2)
11 + 12x = (-4 + 2x)

Solving
11 + 12x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + 12x + -2x = -4 + 2x + -2x

Combine like terms: 12x + -2x = 10x
11 + 10x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 10x = -4 + 0
11 + 10x = -4

Add '-11' to each side of the equation.
11 + -11 + 10x = -4 + -11

Combine like terms: 11 + -11 = 0
0 + 10x = -4 + -11
10x = -4 + -11

Combine like terms: -4 + -11 = -15
10x = -15

Divide each side by '10'.
x = -1.5

Simplifying
x = -1.5

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