0.6x+1.5=0.3x-0.6(2x+5)

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Solution for 0.6x+1.5=0.3x-0.6(2x+5) equation: 


Simplifying
0.6x + 1.5 = 0.3x + -0.6(2x + 5)

Reorder the terms:
1.5 + 0.6x = 0.3x + -0.6(2x + 5)

Reorder the terms:
1.5 + 0.6x = 0.3x + -0.6(5 + 2x)
1.5 + 0.6x = 0.3x + (5 * -0.6 + 2x * -0.6)
1.5 + 0.6x = 0.3x + (-3 + -1.2x)

Reorder the terms:
1.5 + 0.6x = -3 + 0.3x + -1.2x

Combine like terms: 0.3x + -1.2x = -0.9x
1.5 + 0.6x = -3 + -0.9x

Solving
1.5 + 0.6x = -3 + -0.9x

Solving for variable 'x'.

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

Add '0.9x' to each side of the equation.
1.5 + 0.6x + 0.9x = -3 + -0.9x + 0.9x

Combine like terms: 0.6x + 0.9x = 1.5x
1.5 + 1.5x = -3 + -0.9x + 0.9x

Combine like terms: -0.9x + 0.9x = 0.0
1.5 + 1.5x = -3 + 0.0
1.5 + 1.5x = -3

Add '-1.5' to each side of the equation.
1.5 + -1.5 + 1.5x = -3 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 1.5x = -3 + -1.5
1.5x = -3 + -1.5

Combine like terms: -3 + -1.5 = -4.5
1.5x = -4.5

Divide each side by '1.5'.
x = -3

Simplifying
x = -3

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