-.3(x+6)=-2.4(x-1)

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Solution for -.3(x+6)=-2.4(x-1) equation: 


Simplifying
-0.3(x + 6) = -2.4(x + -1)

Reorder the terms:
-0.3(6 + x) = -2.4(x + -1)
(6 * -0.3 + x * -0.3) = -2.4(x + -1)
(-1.8 + -0.3x) = -2.4(x + -1)

Reorder the terms:
-1.8 + -0.3x = -2.4(-1 + x)
-1.8 + -0.3x = (-1 * -2.4 + x * -2.4)
-1.8 + -0.3x = (2.4 + -2.4x)

Solving
-1.8 + -0.3x = 2.4 + -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.
-1.8 + -0.3x + 2.4x = 2.4 + -2.4x + 2.4x

Combine like terms: -0.3x + 2.4x = 2.1x
-1.8 + 2.1x = 2.4 + -2.4x + 2.4x

Combine like terms: -2.4x + 2.4x = 0.0
-1.8 + 2.1x = 2.4 + 0.0
-1.8 + 2.1x = 2.4

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 2.1x = 2.4 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 2.1x = 2.4 + 1.8
2.1x = 2.4 + 1.8

Combine like terms: 2.4 + 1.8 = 4.2
2.1x = 4.2

Divide each side by '2.1'.
x = 2

Simplifying
x = 2

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