(-2x+1)-(x+10)=3x-1

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Solution for (-2x+1)-(x+10)=3x-1 equation:


Simplifying
(-2x + 1) + -1(x + 10) = 3x + -1

Reorder the terms:
(1 + -2x) + -1(x + 10) = 3x + -1

Remove parenthesis around (1 + -2x)
1 + -2x + -1(x + 10) = 3x + -1

Reorder the terms:
1 + -2x + -1(10 + x) = 3x + -1
1 + -2x + (10 * -1 + x * -1) = 3x + -1
1 + -2x + (-10 + -1x) = 3x + -1

Reorder the terms:
1 + -10 + -2x + -1x = 3x + -1

Combine like terms: 1 + -10 = -9
-9 + -2x + -1x = 3x + -1

Combine like terms: -2x + -1x = -3x
-9 + -3x = 3x + -1

Reorder the terms:
-9 + -3x = -1 + 3x

Solving
-9 + -3x = -1 + 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.
-9 + -3x + -3x = -1 + 3x + -3x

Combine like terms: -3x + -3x = -6x
-9 + -6x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -6x = -1 + 0
-9 + -6x = -1

Add '9' to each side of the equation.
-9 + 9 + -6x = -1 + 9

Combine like terms: -9 + 9 = 0
0 + -6x = -1 + 9
-6x = -1 + 9

Combine like terms: -1 + 9 = 8
-6x = 8

Divide each side by '-6'.
x = -1.333333333

Simplifying
x = -1.333333333

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