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

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


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

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

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

Combine like terms: 5 + 6 = 11
11 + -5x = -3(x + 4) + 1

Reorder the terms:
11 + -5x = -3(4 + x) + 1
11 + -5x = (4 * -3 + x * -3) + 1
11 + -5x = (-12 + -3x) + 1

Reorder the terms:
11 + -5x = -12 + 1 + -3x

Combine like terms: -12 + 1 = -11
11 + -5x = -11 + -3x

Solving
11 + -5x = -11 + -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.
11 + -5x + 3x = -11 + -3x + 3x

Combine like terms: -5x + 3x = -2x
11 + -2x = -11 + -3x + 3x

Combine like terms: -3x + 3x = 0
11 + -2x = -11 + 0
11 + -2x = -11

Add '-11' to each side of the equation.
11 + -11 + -2x = -11 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = -11 + -11
-2x = -11 + -11

Combine like terms: -11 + -11 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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