2x-4(x-5)=-6+3x+1

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Solution for 2x-4(x-5)=-6+3x+1 equation: 


Simplifying
2x + -4(x + -5) = -6 + 3x + 1

Reorder the terms:
2x + -4(-5 + x) = -6 + 3x + 1
2x + (-5 * -4 + x * -4) = -6 + 3x + 1
2x + (20 + -4x) = -6 + 3x + 1

Reorder the terms:
20 + 2x + -4x = -6 + 3x + 1

Combine like terms: 2x + -4x = -2x
20 + -2x = -6 + 3x + 1

Reorder the terms:
20 + -2x = -6 + 1 + 3x

Combine like terms: -6 + 1 = -5
20 + -2x = -5 + 3x

Solving
20 + -2x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + -2x + -3x = -5 + 3x + -3x

Combine like terms: -2x + -3x = -5x
20 + -5x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -5x = -5 + 0
20 + -5x = -5

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

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

Combine like terms: -5 + -20 = -25
-5x = -25

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

Simplifying
x = 5

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