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

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


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

Reorder the terms:
6(3 + x) + -1(x + 4) = -4
(3 * 6 + x * 6) + -1(x + 4) = -4
(18 + 6x) + -1(x + 4) = -4

Reorder the terms:
18 + 6x + -1(4 + x) = -4
18 + 6x + (4 * -1 + x * -1) = -4
18 + 6x + (-4 + -1x) = -4

Reorder the terms:
18 + -4 + 6x + -1x = -4

Combine like terms: 18 + -4 = 14
14 + 6x + -1x = -4

Combine like terms: 6x + -1x = 5x
14 + 5x = -4

Solving
14 + 5x = -4

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 5x = -4 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = -4 + -14
5x = -4 + -14

Combine like terms: -4 + -14 = -18
5x = -18

Divide each side by '5'.
x = -3.6

Simplifying
x = -3.6

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