2x+130=6x-290

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Solution for 2x+130=6x-290 equation:


Simplifying
2x + 130 = 6x + -290

Reorder the terms:
130 + 2x = 6x + -290

Reorder the terms:
130 + 2x = -290 + 6x

Solving
130 + 2x = -290 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
130 + 2x + -6x = -290 + 6x + -6x

Combine like terms: 2x + -6x = -4x
130 + -4x = -290 + 6x + -6x

Combine like terms: 6x + -6x = 0
130 + -4x = -290 + 0
130 + -4x = -290

Add '-130' to each side of the equation.
130 + -130 + -4x = -290 + -130

Combine like terms: 130 + -130 = 0
0 + -4x = -290 + -130
-4x = -290 + -130

Combine like terms: -290 + -130 = -420
-4x = -420

Divide each side by '-4'.
x = 105

Simplifying
x = 105

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