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

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


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

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

Reorder the terms:
1 + 11x = 10(-2 + x) + -3
1 + 11x = (-2 * 10 + x * 10) + -3
1 + 11x = (-20 + 10x) + -3

Reorder the terms:
1 + 11x = -20 + -3 + 10x

Combine like terms: -20 + -3 = -23
1 + 11x = -23 + 10x

Solving
1 + 11x = -23 + 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 = -23 + 10x + -10x

Combine like terms: 11x + -10x = 1x
1 + 1x = -23 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + 1x = -23 + 0
1 + 1x = -23

Add '-1' to each side of the equation.
1 + -1 + 1x = -23 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = -23 + -1
1x = -23 + -1

Combine like terms: -23 + -1 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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