13-5(3x-4)=-2

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Solution for 13-5(3x-4)=-2 equation:


Simplifying
13 + -5(3x + -4) = -2

Reorder the terms:
13 + -5(-4 + 3x) = -2
13 + (-4 * -5 + 3x * -5) = -2
13 + (20 + -15x) = -2

Combine like terms: 13 + 20 = 33
33 + -15x = -2

Solving
33 + -15x = -2

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + -15x = -2 + -33

Combine like terms: 33 + -33 = 0
0 + -15x = -2 + -33
-15x = -2 + -33

Combine like terms: -2 + -33 = -35
-15x = -35

Divide each side by '-15'.
x = 2.333333333

Simplifying
x = 2.333333333

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