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

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


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

Reorder the terms:
2x + -5(-2 + x) = -3 + 5x + -19
2x + (-2 * -5 + x * -5) = -3 + 5x + -19
2x + (10 + -5x) = -3 + 5x + -19

Reorder the terms:
10 + 2x + -5x = -3 + 5x + -19

Combine like terms: 2x + -5x = -3x
10 + -3x = -3 + 5x + -19

Reorder the terms:
10 + -3x = -3 + -19 + 5x

Combine like terms: -3 + -19 = -22
10 + -3x = -22 + 5x

Solving
10 + -3x = -22 + 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.
10 + -3x + -5x = -22 + 5x + -5x

Combine like terms: -3x + -5x = -8x
10 + -8x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -8x = -22 + 0
10 + -8x = -22

Add '-10' to each side of the equation.
10 + -10 + -8x = -22 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = -22 + -10
-8x = -22 + -10

Combine like terms: -22 + -10 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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