(3x-1)-(3-2x)=10x+11

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Solution for (3x-1)-(3-2x)=10x+11 equation:


Simplifying
(3x + -1) + -1(3 + -2x) = 10x + 11

Reorder the terms:
(-1 + 3x) + -1(3 + -2x) = 10x + 11

Remove parenthesis around (-1 + 3x)
-1 + 3x + -1(3 + -2x) = 10x + 11
-1 + 3x + (3 * -1 + -2x * -1) = 10x + 11
-1 + 3x + (-3 + 2x) = 10x + 11

Reorder the terms:
-1 + -3 + 3x + 2x = 10x + 11

Combine like terms: -1 + -3 = -4
-4 + 3x + 2x = 10x + 11

Combine like terms: 3x + 2x = 5x
-4 + 5x = 10x + 11

Reorder the terms:
-4 + 5x = 11 + 10x

Solving
-4 + 5x = 11 + 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.
-4 + 5x + -10x = 11 + 10x + -10x

Combine like terms: 5x + -10x = -5x
-4 + -5x = 11 + 10x + -10x

Combine like terms: 10x + -10x = 0
-4 + -5x = 11 + 0
-4 + -5x = 11

Add '4' to each side of the equation.
-4 + 4 + -5x = 11 + 4

Combine like terms: -4 + 4 = 0
0 + -5x = 11 + 4
-5x = 11 + 4

Combine like terms: 11 + 4 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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