-5x+2=3x-30

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Solution for -5x+2=3x-30 equation: 


Simplifying
-5x + 2 = 3x + -30

Reorder the terms:
2 + -5x = 3x + -30

Reorder the terms:
2 + -5x = -30 + 3x

Solving
2 + -5x = -30 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -5x + -3x = -30 + 3x + -3x

Combine like terms: -5x + -3x = -8x
2 + -8x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -8x = -30 + 0
2 + -8x = -30

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

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

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

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

Simplifying
x = 4

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