2x+30=10x-2

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


Simplifying
2x + 30 = 10x + -2

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

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

Solving
30 + 2x = -2 + 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.
30 + 2x + -10x = -2 + 10x + -10x

Combine like terms: 2x + -10x = -8x
30 + -8x = -2 + 10x + -10x

Combine like terms: 10x + -10x = 0
30 + -8x = -2 + 0
30 + -8x = -2

Add '-30' to each side of the equation.
30 + -30 + -8x = -2 + -30

Combine like terms: 30 + -30 = 0
0 + -8x = -2 + -30
-8x = -2 + -30

Combine like terms: -2 + -30 = -32
-8x = -32

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

Simplifying
x = 4

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