3x-5(x-3)=-6+5x-14

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Solution for 3x-5(x-3)=-6+5x-14 equation: 


Simplifying
3x + -5(x + -3) = -6 + 5x + -14

Reorder the terms:
3x + -5(-3 + x) = -6 + 5x + -14
3x + (-3 * -5 + x * -5) = -6 + 5x + -14
3x + (15 + -5x) = -6 + 5x + -14

Reorder the terms:
15 + 3x + -5x = -6 + 5x + -14

Combine like terms: 3x + -5x = -2x
15 + -2x = -6 + 5x + -14

Reorder the terms:
15 + -2x = -6 + -14 + 5x

Combine like terms: -6 + -14 = -20
15 + -2x = -20 + 5x

Solving
15 + -2x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
15 + -2x + -5x = -20 + 5x + -5x

Combine like terms: -2x + -5x = -7x
15 + -7x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -7x = -20 + 0
15 + -7x = -20

Add '-15' to each side of the equation.
15 + -15 + -7x = -20 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -20 + -15
-7x = -20 + -15

Combine like terms: -20 + -15 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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