1+10x=2(22x+33)+x

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Solution for 1+10x=2(22x+33)+x equation:


Simplifying
1 + 10x = 2(22x + 33) + x

Reorder the terms:
1 + 10x = 2(33 + 22x) + x
1 + 10x = (33 * 2 + 22x * 2) + x
1 + 10x = (66 + 44x) + x

Combine like terms: 44x + x = 45x
1 + 10x = 66 + 45x

Solving
1 + 10x = 66 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
1 + 10x + -45x = 66 + 45x + -45x

Combine like terms: 10x + -45x = -35x
1 + -35x = 66 + 45x + -45x

Combine like terms: 45x + -45x = 0
1 + -35x = 66 + 0
1 + -35x = 66

Add '-1' to each side of the equation.
1 + -1 + -35x = 66 + -1

Combine like terms: 1 + -1 = 0
0 + -35x = 66 + -1
-35x = 66 + -1

Combine like terms: 66 + -1 = 65
-35x = 65

Divide each side by '-35'.
x = -1.857142857

Simplifying
x = -1.857142857

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