2(x-10)-11=21x-88

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Solution for 2(x-10)-11=21x-88 equation:


Simplifying
2(x + -10) + -11 = 21x + -88

Reorder the terms:
2(-10 + x) + -11 = 21x + -88
(-10 * 2 + x * 2) + -11 = 21x + -88
(-20 + 2x) + -11 = 21x + -88

Reorder the terms:
-20 + -11 + 2x = 21x + -88

Combine like terms: -20 + -11 = -31
-31 + 2x = 21x + -88

Reorder the terms:
-31 + 2x = -88 + 21x

Solving
-31 + 2x = -88 + 21x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21x' to each side of the equation.
-31 + 2x + -21x = -88 + 21x + -21x

Combine like terms: 2x + -21x = -19x
-31 + -19x = -88 + 21x + -21x

Combine like terms: 21x + -21x = 0
-31 + -19x = -88 + 0
-31 + -19x = -88

Add '31' to each side of the equation.
-31 + 31 + -19x = -88 + 31

Combine like terms: -31 + 31 = 0
0 + -19x = -88 + 31
-19x = -88 + 31

Combine like terms: -88 + 31 = -57
-19x = -57

Divide each side by '-19'.
x = 3

Simplifying
x = 3

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