3x+10=22x+45

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Solution for 3x+10=22x+45 equation:


Simplifying
3x + 10 = 22x + 45

Reorder the terms:
10 + 3x = 22x + 45

Reorder the terms:
10 + 3x = 45 + 22x

Solving
10 + 3x = 45 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
10 + 3x + -22x = 45 + 22x + -22x

Combine like terms: 3x + -22x = -19x
10 + -19x = 45 + 22x + -22x

Combine like terms: 22x + -22x = 0
10 + -19x = 45 + 0
10 + -19x = 45

Add '-10' to each side of the equation.
10 + -10 + -19x = 45 + -10

Combine like terms: 10 + -10 = 0
0 + -19x = 45 + -10
-19x = 45 + -10

Combine like terms: 45 + -10 = 35
-19x = 35

Divide each side by '-19'.
x = -1.842105263

Simplifying
x = -1.842105263

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