3(x+1)=6(x-2)-3

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Solution for 3(x+1)=6(x-2)-3 equation: 


Simplifying
3(x + 1) = 6(x + -2) + -3

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

Reorder the terms:
3 + 3x = 6(-2 + x) + -3
3 + 3x = (-2 * 6 + x * 6) + -3
3 + 3x = (-12 + 6x) + -3

Reorder the terms:
3 + 3x = -12 + -3 + 6x

Combine like terms: -12 + -3 = -15
3 + 3x = -15 + 6x

Solving
3 + 3x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + 3x + -6x = -15 + 6x + -6x

Combine like terms: 3x + -6x = -3x
3 + -3x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -3x = -15 + 0
3 + -3x = -15

Add '-3' to each side of the equation.
3 + -3 + -3x = -15 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -15 + -3
-3x = -15 + -3

Combine like terms: -15 + -3 = -18
-3x = -18

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

Simplifying
x = 6

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