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

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


Simplifying
0.4x + -3 = 1.5(4x + -3)

Reorder the terms:
-3 + 0.4x = 1.5(4x + -3)

Reorder the terms:
-3 + 0.4x = 1.5(-3 + 4x)
-3 + 0.4x = (-3 * 1.5 + 4x * 1.5)
-3 + 0.4x = (-4.5 + 6x)

Solving
-3 + 0.4x = -4.5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-3 + 0.4x + -6x = -4.5 + 6x + -6x

Combine like terms: 0.4x + -6x = -5.6x
-3 + -5.6x = -4.5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-3 + -5.6x = -4.5 + 0
-3 + -5.6x = -4.5

Add '3' to each side of the equation.
-3 + 3 + -5.6x = -4.5 + 3

Combine like terms: -3 + 3 = 0
0 + -5.6x = -4.5 + 3
-5.6x = -4.5 + 3

Combine like terms: -4.5 + 3 = -1.5
-5.6x = -1.5

Divide each side by '-5.6'.
x = 0.2678571429

Simplifying
x = 0.2678571429

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