3x+5x-6=2-7x+22

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Solution for 3x+5x-6=2-7x+22 equation:


Simplifying
3x + 5x + -6 = 2 + -7x + 22

Reorder the terms:
-6 + 3x + 5x = 2 + -7x + 22

Combine like terms: 3x + 5x = 8x
-6 + 8x = 2 + -7x + 22

Reorder the terms:
-6 + 8x = 2 + 22 + -7x

Combine like terms: 2 + 22 = 24
-6 + 8x = 24 + -7x

Solving
-6 + 8x = 24 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6 + 8x + 7x = 24 + -7x + 7x

Combine like terms: 8x + 7x = 15x
-6 + 15x = 24 + -7x + 7x

Combine like terms: -7x + 7x = 0
-6 + 15x = 24 + 0
-6 + 15x = 24

Add '6' to each side of the equation.
-6 + 6 + 15x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + 15x = 24 + 6
15x = 24 + 6

Combine like terms: 24 + 6 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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