10x+11=3x-10

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Solution for 10x+11=3x-10 equation:


Simplifying
10x + 11 = 3x + -10

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

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

Solving
11 + 10x = -10 + 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.
11 + 10x + -3x = -10 + 3x + -3x

Combine like terms: 10x + -3x = 7x
11 + 7x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + 7x = -10 + 0
11 + 7x = -10

Add '-11' to each side of the equation.
11 + -11 + 7x = -10 + -11

Combine like terms: 11 + -11 = 0
0 + 7x = -10 + -11
7x = -10 + -11

Combine like terms: -10 + -11 = -21
7x = -21

Divide each side by '7'.
x = -3

Simplifying
x = -3

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