3x+7=22x-3

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Solution for 3x+7=22x-3 equation:


Simplifying
3x + 7 = 22x + -3

Reorder the terms:
7 + 3x = 22x + -3

Reorder the terms:
7 + 3x = -3 + 22x

Solving
7 + 3x = -3 + 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.
7 + 3x + -22x = -3 + 22x + -22x

Combine like terms: 3x + -22x = -19x
7 + -19x = -3 + 22x + -22x

Combine like terms: 22x + -22x = 0
7 + -19x = -3 + 0
7 + -19x = -3

Add '-7' to each side of the equation.
7 + -7 + -19x = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -19x = -3 + -7
-19x = -3 + -7

Combine like terms: -3 + -7 = -10
-19x = -10

Divide each side by '-19'.
x = 0.5263157895

Simplifying
x = 0.5263157895

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