-0.2(3x+15)=3(0.8x-8)

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Solution for -0.2(3x+15)=3(0.8x-8) equation:


Simplifying
-0.2(3x + 15) = 3(0.8x + -8)

Reorder the terms:
-0.2(15 + 3x) = 3(0.8x + -8)
(15 * -0.2 + 3x * -0.2) = 3(0.8x + -8)
(-3 + -0.6x) = 3(0.8x + -8)

Reorder the terms:
-3 + -0.6x = 3(-8 + 0.8x)
-3 + -0.6x = (-8 * 3 + 0.8x * 3)
-3 + -0.6x = (-24 + 2.4x)

Solving
-3 + -0.6x = -24 + 2.4x

Solving for variable 'x'.

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

Add '-2.4x' to each side of the equation.
-3 + -0.6x + -2.4x = -24 + 2.4x + -2.4x

Combine like terms: -0.6x + -2.4x = -3x
-3 + -3x = -24 + 2.4x + -2.4x

Combine like terms: 2.4x + -2.4x = 0.0
-3 + -3x = -24 + 0.0
-3 + -3x = -24

Add '3' to each side of the equation.
-3 + 3 + -3x = -24 + 3

Combine like terms: -3 + 3 = 0
0 + -3x = -24 + 3
-3x = -24 + 3

Combine like terms: -24 + 3 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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