0.3(6x-12)=4(0.5x+1)-2

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Solution for 0.3(6x-12)=4(0.5x+1)-2 equation:


Simplifying
0.3(6x + -12) = 4(0.5x + 1) + -2

Reorder the terms:
0.3(-12 + 6x) = 4(0.5x + 1) + -2
(-12 * 0.3 + 6x * 0.3) = 4(0.5x + 1) + -2
(-3.6 + 1.8x) = 4(0.5x + 1) + -2

Reorder the terms:
-3.6 + 1.8x = 4(1 + 0.5x) + -2
-3.6 + 1.8x = (1 * 4 + 0.5x * 4) + -2
-3.6 + 1.8x = (4 + 2x) + -2

Reorder the terms:
-3.6 + 1.8x = 4 + -2 + 2x

Combine like terms: 4 + -2 = 2
-3.6 + 1.8x = 2 + 2x

Solving
-3.6 + 1.8x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3.6 + 1.8x + -2x = 2 + 2x + -2x

Combine like terms: 1.8x + -2x = -0.2x
-3.6 + -0.2x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3.6 + -0.2x = 2 + 0
-3.6 + -0.2x = 2

Add '3.6' to each side of the equation.
-3.6 + 3.6 + -0.2x = 2 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + -0.2x = 2 + 3.6
-0.2x = 2 + 3.6

Combine like terms: 2 + 3.6 = 5.6
-0.2x = 5.6

Divide each side by '-0.2'.
x = -28

Simplifying
x = -28

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