2x-5(x-3)=-8+4x-19

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Solution for 2x-5(x-3)=-8+4x-19 equation: 


Simplifying
2x + -5(x + -3) = -8 + 4x + -19

Reorder the terms:
2x + -5(-3 + x) = -8 + 4x + -19
2x + (-3 * -5 + x * -5) = -8 + 4x + -19
2x + (15 + -5x) = -8 + 4x + -19

Reorder the terms:
15 + 2x + -5x = -8 + 4x + -19

Combine like terms: 2x + -5x = -3x
15 + -3x = -8 + 4x + -19

Reorder the terms:
15 + -3x = -8 + -19 + 4x

Combine like terms: -8 + -19 = -27
15 + -3x = -27 + 4x

Solving
15 + -3x = -27 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + -3x + -4x = -27 + 4x + -4x

Combine like terms: -3x + -4x = -7x
15 + -7x = -27 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -7x = -27 + 0
15 + -7x = -27

Add '-15' to each side of the equation.
15 + -15 + -7x = -27 + -15

Combine like terms: 15 + -15 = 0
0 + -7x = -27 + -15
-7x = -27 + -15

Combine like terms: -27 + -15 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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