-2(x+3)-6(5x-2)=-58

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Solution for -2(x+3)-6(5x-2)=-58 equation:


Simplifying
-2(x + 3) + -6(5x + -2) = -58

Reorder the terms:
-2(3 + x) + -6(5x + -2) = -58
(3 * -2 + x * -2) + -6(5x + -2) = -58
(-6 + -2x) + -6(5x + -2) = -58

Reorder the terms:
-6 + -2x + -6(-2 + 5x) = -58
-6 + -2x + (-2 * -6 + 5x * -6) = -58
-6 + -2x + (12 + -30x) = -58

Reorder the terms:
-6 + 12 + -2x + -30x = -58

Combine like terms: -6 + 12 = 6
6 + -2x + -30x = -58

Combine like terms: -2x + -30x = -32x
6 + -32x = -58

Solving
6 + -32x = -58

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -32x = -58 + -6

Combine like terms: 6 + -6 = 0
0 + -32x = -58 + -6
-32x = -58 + -6

Combine like terms: -58 + -6 = -64
-32x = -64

Divide each side by '-32'.
x = 2

Simplifying
x = 2

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