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 = -17
1 + 11x = -17 + 10x

Solving
1 + 11x = -17 + 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 = -17 + 10x + -10x

Combine like terms: 11x + -10x = 1x
1 + 1x = -17 + 10x + -10x

Combine like terms: 10x + -10x = 0
1 + 1x = -17 + 0
1 + 1x = -17

Add '-1' to each side of the equation.
1 + -1 + 1x = -17 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = -17 + -1
1x = -17 + -1

Combine like terms: -17 + -1 = -18
1x = -18

Divide each side by '1'.
x = -18

Simplifying
x = -18

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