3x+0.5=0.2x-7

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Solution for 3x+0.5=0.2x-7 equation: 


Simplifying
3x + 0.5 = 0.2x + -7

Reorder the terms:
0.5 + 3x = 0.2x + -7

Reorder the terms:
0.5 + 3x = -7 + 0.2x

Solving
0.5 + 3x = -7 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
0.5 + 3x + -0.2x = -7 + 0.2x + -0.2x

Combine like terms: 3x + -0.2x = 2.8x
0.5 + 2.8x = -7 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
0.5 + 2.8x = -7 + 0.0
0.5 + 2.8x = -7

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 2.8x = -7 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 2.8x = -7 + -0.5
2.8x = -7 + -0.5

Combine like terms: -7 + -0.5 = -7.5
2.8x = -7.5

Divide each side by '2.8'.
x = -2.678571429

Simplifying
x = -2.678571429

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