-[10x-(21x+1)]=1+(10x+7)

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Solution for -[10x-(21x+1)]=1+(10x+7) equation:


Simplifying
-1[10x + -1(21x + 1)] = 1 + (10x + 7)

Reorder the terms:
-1[10x + -1(1 + 21x)] = 1 + (10x + 7)
-1[10x + (1 * -1 + 21x * -1)] = 1 + (10x + 7)
-1[10x + (-1 + -21x)] = 1 + (10x + 7)

Reorder the terms:
-1[-1 + 10x + -21x] = 1 + (10x + 7)

Combine like terms: 10x + -21x = -11x
-1[-1 + -11x] = 1 + (10x + 7)
[-1 * -1 + -11x * -1] = 1 + (10x + 7)
[1 + 11x] = 1 + (10x + 7)

Reorder the terms:
1 + 11x = 1 + (7 + 10x)

Remove parenthesis around (7 + 10x)
1 + 11x = 1 + 7 + 10x

Combine like terms: 1 + 7 = 8
1 + 11x = 8 + 10x

Solving
1 + 11x = 8 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
1 + 11x + -10x = 8 + 10x + -10x

Combine like terms: 11x + -10x = 1x
1 + 1x = 8 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + 1x = 8 + 0
1 + 1x = 8

Add '-1' to each side of the equation.
1 + -1 + 1x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 8 + -1
1x = 8 + -1

Combine like terms: 8 + -1 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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