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 = 8
8 + 6x + -3x + -4x = -5

Combine like terms: 6x + -3x = 3x
8 + 3x + -4x = -5

Combine like terms: 3x + -4x = -1x
8 + -1x = -5

Solving
8 + -1x = -5

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -1x = -5 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -5 + -8
-1x = -5 + -8

Combine like terms: -5 + -8 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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