2x+10=-8x+30

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Solution for 2x+10=-8x+30 equation:


Simplifying
2x + 10 = -8x + 30

Reorder the terms:
10 + 2x = -8x + 30

Reorder the terms:
10 + 2x = 30 + -8x

Solving
10 + 2x = 30 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
10 + 2x + 8x = 30 + -8x + 8x

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

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

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

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

Combine like terms: 30 + -10 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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