.2(4x-8)=3x-1.5

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Solution for .2(4x-8)=3x-1.5 equation:


Simplifying
0.2(4x + -8) = 3x + -1.5

Reorder the terms:
0.2(-8 + 4x) = 3x + -1.5
(-8 * 0.2 + 4x * 0.2) = 3x + -1.5
(-1.6 + 0.8x) = 3x + -1.5

Reorder the terms:
-1.6 + 0.8x = -1.5 + 3x

Solving
-1.6 + 0.8x = -1.5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1.6 + 0.8x + -3x = -1.5 + 3x + -3x

Combine like terms: 0.8x + -3x = -2.2x
-1.6 + -2.2x = -1.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1.6 + -2.2x = -1.5 + 0
-1.6 + -2.2x = -1.5

Add '1.6' to each side of the equation.
-1.6 + 1.6 + -2.2x = -1.5 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + -2.2x = -1.5 + 1.6
-2.2x = -1.5 + 1.6

Combine like terms: -1.5 + 1.6 = 0.1
-2.2x = 0.1

Divide each side by '-2.2'.
x = -0.04545454545

Simplifying
x = -0.04545454545

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