3x+2=0.2(5x-15)

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Solution for 3x+2=0.2(5x-15) equation:


Simplifying
3x + 2 = 0.2(5x + -15)

Reorder the terms:
2 + 3x = 0.2(5x + -15)

Reorder the terms:
2 + 3x = 0.2(-15 + 5x)
2 + 3x = (-15 * 0.2 + 5x * 0.2)
2 + 3x = (-3 + 1x)

Solving
2 + 3x = -3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 3x + -1x = -3 + 1x + -1x

Combine like terms: 3x + -1x = 2x
2 + 2x = -3 + 1x + -1x

Combine like terms: 1x + -1x = 0
2 + 2x = -3 + 0
2 + 2x = -3

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

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

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

Divide each side by '2'.
x = -2.5

Simplifying
x = -2.5

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