.3(x+3)-.5(x+3)=.2x-.6

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Solution for .3(x+3)-.5(x+3)=.2x-.6 equation:


Simplifying
0.3(x + 3) + -0.5(x + 3) = 0.2x + -0.6

Reorder the terms:
0.3(3 + x) + -0.5(x + 3) = 0.2x + -0.6
(3 * 0.3 + x * 0.3) + -0.5(x + 3) = 0.2x + -0.6
(0.9 + 0.3x) + -0.5(x + 3) = 0.2x + -0.6

Reorder the terms:
0.9 + 0.3x + -0.5(3 + x) = 0.2x + -0.6
0.9 + 0.3x + (3 * -0.5 + x * -0.5) = 0.2x + -0.6
0.9 + 0.3x + (-1.5 + -0.5x) = 0.2x + -0.6

Reorder the terms:
0.9 + -1.5 + 0.3x + -0.5x = 0.2x + -0.6

Combine like terms: 0.9 + -1.5 = -0.6
-0.6 + 0.3x + -0.5x = 0.2x + -0.6

Combine like terms: 0.3x + -0.5x = -0.2x
-0.6 + -0.2x = 0.2x + -0.6

Reorder the terms:
-0.6 + -0.2x = -0.6 + 0.2x

Add '0.6' to each side of the equation.
-0.6 + 0.6 + -0.2x = -0.6 + 0.6 + 0.2x

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + -0.2x = -0.6 + 0.6 + 0.2x
-0.2x = -0.6 + 0.6 + 0.2x

Combine like terms: -0.6 + 0.6 = 0.0
-0.2x = 0.0 + 0.2x
-0.2x = 0.2x

Solving
-0.2x = 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.
-0.2x + -0.2x = 0.2x + -0.2x

Combine like terms: -0.2x + -0.2x = -0.4x
-0.4x = 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-0.4x = 0.0

Divide each side by '-0.4'.
x = 0

Simplifying
x = 0

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