2x-5(x-2)=-6+4x-19

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Solution for 2x-5(x-2)=-6+4x-19 equation: 


Simplifying
2x + -5(x + -2) = -6 + 4x + -19

Reorder the terms:
2x + -5(-2 + x) = -6 + 4x + -19
2x + (-2 * -5 + x * -5) = -6 + 4x + -19
2x + (10 + -5x) = -6 + 4x + -19

Reorder the terms:
10 + 2x + -5x = -6 + 4x + -19

Combine like terms: 2x + -5x = -3x
10 + -3x = -6 + 4x + -19

Reorder the terms:
10 + -3x = -6 + -19 + 4x

Combine like terms: -6 + -19 = -25
10 + -3x = -25 + 4x

Solving
10 + -3x = -25 + 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.
10 + -3x + -4x = -25 + 4x + -4x

Combine like terms: -3x + -4x = -7x
10 + -7x = -25 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -7x = -25 + 0
10 + -7x = -25

Add '-10' to each side of the equation.
10 + -10 + -7x = -25 + -10

Combine like terms: 10 + -10 = 0
0 + -7x = -25 + -10
-7x = -25 + -10

Combine like terms: -25 + -10 = -35
-7x = -35

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

Simplifying
x = 5

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