6x+130=22x-30

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Solution for 6x+130=22x-30 equation:


Simplifying
6x + 130 = 22x + -30

Reorder the terms:
130 + 6x = 22x + -30

Reorder the terms:
130 + 6x = -30 + 22x

Solving
130 + 6x = -30 + 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.
130 + 6x + -22x = -30 + 22x + -22x

Combine like terms: 6x + -22x = -16x
130 + -16x = -30 + 22x + -22x

Combine like terms: 22x + -22x = 0
130 + -16x = -30 + 0
130 + -16x = -30

Add '-130' to each side of the equation.
130 + -130 + -16x = -30 + -130

Combine like terms: 130 + -130 = 0
0 + -16x = -30 + -130
-16x = -30 + -130

Combine like terms: -30 + -130 = -160
-16x = -160

Divide each side by '-16'.
x = 10

Simplifying
x = 10

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