.6x+9=-.3(4x-3)

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Solution for .6x+9=-.3(4x-3) equation:


Simplifying
0.6x + 9 = -0.3(4x + -3)

Reorder the terms:
9 + 0.6x = -0.3(4x + -3)

Reorder the terms:
9 + 0.6x = -0.3(-3 + 4x)
9 + 0.6x = (-3 * -0.3 + 4x * -0.3)
9 + 0.6x = (0.9 + -1.2x)

Solving
9 + 0.6x = 0.9 + -1.2x

Solving for variable 'x'.

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

Add '1.2x' to each side of the equation.
9 + 0.6x + 1.2x = 0.9 + -1.2x + 1.2x

Combine like terms: 0.6x + 1.2x = 1.8x
9 + 1.8x = 0.9 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
9 + 1.8x = 0.9 + 0.0
9 + 1.8x = 0.9

Add '-9' to each side of the equation.
9 + -9 + 1.8x = 0.9 + -9

Combine like terms: 9 + -9 = 0
0 + 1.8x = 0.9 + -9
1.8x = 0.9 + -9

Combine like terms: 0.9 + -9 = -8.1
1.8x = -8.1

Divide each side by '1.8'.
x = -4.5

Simplifying
x = -4.5

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