2x+20-6x=-5(x+4)+1

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Solution for 2x+20-6x=-5(x+4)+1 equation:


Simplifying
2x + 20 + -6x = -5(x + 4) + 1

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

Combine like terms: 2x + -6x = -4x
20 + -4x = -5(x + 4) + 1

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

Reorder the terms:
20 + -4x = -20 + 1 + -5x

Combine like terms: -20 + 1 = -19
20 + -4x = -19 + -5x

Solving
20 + -4x = -19 + -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.
20 + -4x + 5x = -19 + -5x + 5x

Combine like terms: -4x + 5x = 1x
20 + 1x = -19 + -5x + 5x

Combine like terms: -5x + 5x = 0
20 + 1x = -19 + 0
20 + 1x = -19

Add '-20' to each side of the equation.
20 + -20 + 1x = -19 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -19 + -20
1x = -19 + -20

Combine like terms: -19 + -20 = -39
1x = -39

Divide each side by '1'.
x = -39

Simplifying
x = -39

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