3(x-2)-1.5(2x-4)=5(0.1x+2)

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Solution for 3(x-2)-1.5(2x-4)=5(0.1x+2) equation:


Simplifying
3(x + -2) + -1.5(2x + -4) = 5(0.1x + 2)

Reorder the terms:
3(-2 + x) + -1.5(2x + -4) = 5(0.1x + 2)
(-2 * 3 + x * 3) + -1.5(2x + -4) = 5(0.1x + 2)
(-6 + 3x) + -1.5(2x + -4) = 5(0.1x + 2)

Reorder the terms:
-6 + 3x + -1.5(-4 + 2x) = 5(0.1x + 2)
-6 + 3x + (-4 * -1.5 + 2x * -1.5) = 5(0.1x + 2)
-6 + 3x + (6 + -3x) = 5(0.1x + 2)

Reorder the terms:
-6 + 6 + 3x + -3x = 5(0.1x + 2)

Combine like terms: -6 + 6 = 0
0 + 3x + -3x = 5(0.1x + 2)
3x + -3x = 5(0.1x + 2)

Combine like terms: 3x + -3x = 0
0 = 5(0.1x + 2)

Reorder the terms:
0 = 5(2 + 0.1x)
0 = (2 * 5 + 0.1x * 5)
0 = (10 + 0.5x)

Solving
0 = 10 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
0 + -0.5x = 10 + 0.5x + -0.5x
Remove the zero:
-0.5x = 10 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.5x = 10 + 0.0
-0.5x = 10

Divide each side by '-0.5'.
x = -20

Simplifying
x = -20

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