6(x+2)-3x+4(x+1)=-5

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Solution for 6(x+2)-3x+4(x+1)=-5 equation: 


Simplifying
6(x + 2) + -3x + 4(x + 1) = -5

Reorder the terms:
6(2 + x) + -3x + 4(x + 1) = -5
(2 * 6 + x * 6) + -3x + 4(x + 1) = -5
(12 + 6x) + -3x + 4(x + 1) = -5

Reorder the terms:
12 + 6x + -3x + 4(1 + x) = -5
12 + 6x + -3x + (1 * 4 + x * 4) = -5
12 + 6x + -3x + (4 + 4x) = -5

Reorder the terms:
12 + 4 + 6x + -3x + 4x = -5

Combine like terms: 12 + 4 = 16
16 + 6x + -3x + 4x = -5

Combine like terms: 6x + -3x = 3x
16 + 3x + 4x = -5

Combine like terms: 3x + 4x = 7x
16 + 7x = -5

Solving
16 + 7x = -5

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 7x = -5 + -16

Combine like terms: 16 + -16 = 0
0 + 7x = -5 + -16
7x = -5 + -16

Combine like terms: -5 + -16 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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