2x-5(x-3)=-6+5x-43

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Solution for 2x-5(x-3)=-6+5x-43 equation: 


Simplifying
2x + -5(x + -3) = -6 + 5x + -43

Reorder the terms:
2x + -5(-3 + x) = -6 + 5x + -43
2x + (-3 * -5 + x * -5) = -6 + 5x + -43
2x + (15 + -5x) = -6 + 5x + -43

Reorder the terms:
15 + 2x + -5x = -6 + 5x + -43

Combine like terms: 2x + -5x = -3x
15 + -3x = -6 + 5x + -43

Reorder the terms:
15 + -3x = -6 + -43 + 5x

Combine like terms: -6 + -43 = -49
15 + -3x = -49 + 5x

Solving
15 + -3x = -49 + 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 + -3x + -5x = -49 + 5x + -5x

Combine like terms: -3x + -5x = -8x
15 + -8x = -49 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -8x = -49 + 0
15 + -8x = -49

Add '-15' to each side of the equation.
15 + -15 + -8x = -49 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = -49 + -15
-8x = -49 + -15

Combine like terms: -49 + -15 = -64
-8x = -64

Divide each side by '-8'.
x = 8

Simplifying
x = 8

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