6(-3x-5)-(x+2)=44

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Solution for 6(-3x-5)-(x+2)=44 equation:


Simplifying
6(-3x + -5) + -1(x + 2) = 44

Reorder the terms:
6(-5 + -3x) + -1(x + 2) = 44
(-5 * 6 + -3x * 6) + -1(x + 2) = 44
(-30 + -18x) + -1(x + 2) = 44

Reorder the terms:
-30 + -18x + -1(2 + x) = 44
-30 + -18x + (2 * -1 + x * -1) = 44
-30 + -18x + (-2 + -1x) = 44

Reorder the terms:
-30 + -2 + -18x + -1x = 44

Combine like terms: -30 + -2 = -32
-32 + -18x + -1x = 44

Combine like terms: -18x + -1x = -19x
-32 + -19x = 44

Solving
-32 + -19x = 44

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + -19x = 44 + 32

Combine like terms: -32 + 32 = 0
0 + -19x = 44 + 32
-19x = 44 + 32

Combine like terms: 44 + 32 = 76
-19x = 76

Divide each side by '-19'.
x = -4

Simplifying
x = -4

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