5x+3x+3(4+x)=2-5+6x

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Solution for 5x+3x+3(4+x)=2-5+6x equation: 


Simplifying
5x + 3x + 3(4 + x) = 2 + -5 + 6x
5x + 3x + (4 * 3 + x * 3) = 2 + -5 + 6x
5x + 3x + (12 + 3x) = 2 + -5 + 6x

Reorder the terms:
12 + 5x + 3x + 3x = 2 + -5 + 6x

Combine like terms: 5x + 3x = 8x
12 + 8x + 3x = 2 + -5 + 6x

Combine like terms: 8x + 3x = 11x
12 + 11x = 2 + -5 + 6x

Combine like terms: 2 + -5 = -3
12 + 11x = -3 + 6x

Solving
12 + 11x = -3 + 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.
12 + 11x + -6x = -3 + 6x + -6x

Combine like terms: 11x + -6x = 5x
12 + 5x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + 5x = -3 + 0
12 + 5x = -3

Add '-12' to each side of the equation.
12 + -12 + 5x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = -3 + -12
5x = -3 + -12

Combine like terms: -3 + -12 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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