6x+2=10x-30

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Solution for 6x+2=10x-30 equation:


Simplifying
6x + 2 = 10x + -30

Reorder the terms:
2 + 6x = 10x + -30

Reorder the terms:
2 + 6x = -30 + 10x

Solving
2 + 6x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
2 + 6x + -10x = -30 + 10x + -10x

Combine like terms: 6x + -10x = -4x
2 + -4x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -4x = -30 + 0
2 + -4x = -30

Add '-2' to each side of the equation.
2 + -2 + -4x = -30 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = -30 + -2
-4x = -30 + -2

Combine like terms: -30 + -2 = -32
-4x = -32

Divide each side by '-4'.
x = 8

Simplifying
x = 8

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