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

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


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

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

Combine like terms: 4 + -3 = 1
1 + -2(1 + -3x) = 4(x + -5) + -1
1 + (1 * -2 + -3x * -2) = 4(x + -5) + -1
1 + (-2 + 6x) = 4(x + -5) + -1

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

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

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

Combine like terms: -20 + -1 = -21
-1 + 6x = -21 + 4x

Solving
-1 + 6x = -21 + 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.
-1 + 6x + -4x = -21 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-1 + 2x = -21 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + 2x = -21 + 0
-1 + 2x = -21

Add '1' to each side of the equation.
-1 + 1 + 2x = -21 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = -21 + 1
2x = -21 + 1

Combine like terms: -21 + 1 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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