-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 = -13x
2 + -13x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
2 + -13x = 30 + 0
2 + -13x = 30

Add '-2' to each side of the equation.
2 + -2 + -13x = 30 + -2

Combine like terms: 2 + -2 = 0
0 + -13x = 30 + -2
-13x = 30 + -2

Combine like terms: 30 + -2 = 28
-13x = 28

Divide each side by '-13'.
x = -2.153846154

Simplifying
x = -2.153846154

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