-3x+2=-10x-30

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Solution for -3x+2=-10x-30 equation:


Simplifying
-3x + 2 = -10x + -30

Reorder the terms:
2 + -3x = -10x + -30

Reorder the terms:
2 + -3x = -30 + -10x

Solving
2 + -3x = -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 + -3x + 10x = -30 + -10x + 10x

Combine like terms: -3x + 10x = 7x
2 + 7x = -30 + -10x + 10x

Combine like terms: -10x + 10x = 0
2 + 7x = -30 + 0
2 + 7x = -30

Add '-2' to each side of the equation.
2 + -2 + 7x = -30 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = -30 + -2
7x = -30 + -2

Combine like terms: -30 + -2 = -32
7x = -32

Divide each side by '7'.
x = -4.571428571

Simplifying
x = -4.571428571

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