-3(x+6)-(-4x-8)=-6

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Solution for -3(x+6)-(-4x-8)=-6 equation:


Simplifying
-3(x + 6) + -1(-4x + -8) = -6

Reorder the terms:
-3(6 + x) + -1(-4x + -8) = -6
(6 * -3 + x * -3) + -1(-4x + -8) = -6
(-18 + -3x) + -1(-4x + -8) = -6

Reorder the terms:
-18 + -3x + -1(-8 + -4x) = -6
-18 + -3x + (-8 * -1 + -4x * -1) = -6
-18 + -3x + (8 + 4x) = -6

Reorder the terms:
-18 + 8 + -3x + 4x = -6

Combine like terms: -18 + 8 = -10
-10 + -3x + 4x = -6

Combine like terms: -3x + 4x = 1x
-10 + 1x = -6

Solving
-10 + 1x = -6

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 1x = -6 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -6 + 10
1x = -6 + 10

Combine like terms: -6 + 10 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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