0.6(x-2)=0.3(4x+5)

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Solution for 0.6(x-2)=0.3(4x+5) equation:


Simplifying
0.6(x + -2) = 0.3(4x + 5)

Reorder the terms:
0.6(-2 + x) = 0.3(4x + 5)
(-2 * 0.6 + x * 0.6) = 0.3(4x + 5)
(-1.2 + 0.6x) = 0.3(4x + 5)

Reorder the terms:
-1.2 + 0.6x = 0.3(5 + 4x)
-1.2 + 0.6x = (5 * 0.3 + 4x * 0.3)
-1.2 + 0.6x = (1.5 + 1.2x)

Solving
-1.2 + 0.6x = 1.5 + 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.
-1.2 + 0.6x + -1.2x = 1.5 + 1.2x + -1.2x

Combine like terms: 0.6x + -1.2x = -0.6x
-1.2 + -0.6x = 1.5 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
-1.2 + -0.6x = 1.5 + 0.0
-1.2 + -0.6x = 1.5

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.6x = 1.5 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.6x = 1.5 + 1.2
-0.6x = 1.5 + 1.2

Combine like terms: 1.5 + 1.2 = 2.7
-0.6x = 2.7

Divide each side by '-0.6'.
x = -4.5

Simplifying
x = -4.5

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