4-((x+1)-10(x-1))=12x+5

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Solution for 4-((x+1)-10(x-1))=12x+5 equation:


Simplifying
4 + -1((x + 1) + -10(x + -1)) = 12x + 5

Reorder the terms:
4 + -1((1 + x) + -10(x + -1)) = 12x + 5

Remove parenthesis around (1 + x)
4 + -1(1 + x + -10(x + -1)) = 12x + 5

Reorder the terms:
4 + -1(1 + x + -10(-1 + x)) = 12x + 5
4 + -1(1 + x + (-1 * -10 + x * -10)) = 12x + 5
4 + -1(1 + x + (10 + -10x)) = 12x + 5

Reorder the terms:
4 + -1(1 + 10 + x + -10x) = 12x + 5

Combine like terms: 1 + 10 = 11
4 + -1(11 + x + -10x) = 12x + 5

Combine like terms: x + -10x = -9x
4 + -1(11 + -9x) = 12x + 5
4 + (11 * -1 + -9x * -1) = 12x + 5
4 + (-11 + 9x) = 12x + 5

Combine like terms: 4 + -11 = -7
-7 + 9x = 12x + 5

Reorder the terms:
-7 + 9x = 5 + 12x

Solving
-7 + 9x = 5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-7 + 9x + -12x = 5 + 12x + -12x

Combine like terms: 9x + -12x = -3x
-7 + -3x = 5 + 12x + -12x

Combine like terms: 12x + -12x = 0
-7 + -3x = 5 + 0
-7 + -3x = 5

Add '7' to each side of the equation.
-7 + 7 + -3x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 5 + 7
-3x = 5 + 7

Combine like terms: 5 + 7 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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