0-5(4x+1)=0.3(5x-1)+1.2

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Solution for 0-5(4x+1)=0.3(5x-1)+1.2 equation:


Simplifying
0 + -5(4x + 1) = 0.3(5x + -1) + 1.2

Reorder the terms:
0 + -5(1 + 4x) = 0.3(5x + -1) + 1.2
0 + (1 * -5 + 4x * -5) = 0.3(5x + -1) + 1.2
0 + (-5 + -20x) = 0.3(5x + -1) + 1.2

Combine like terms: 0 + -5 = -5
-5 + -20x = 0.3(5x + -1) + 1.2

Reorder the terms:
-5 + -20x = 0.3(-1 + 5x) + 1.2
-5 + -20x = (-1 * 0.3 + 5x * 0.3) + 1.2
-5 + -20x = (-0.3 + 1.5x) + 1.2

Reorder the terms:
-5 + -20x = -0.3 + 1.2 + 1.5x

Combine like terms: -0.3 + 1.2 = 0.9
-5 + -20x = 0.9 + 1.5x

Solving
-5 + -20x = 0.9 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-5 + -20x + -1.5x = 0.9 + 1.5x + -1.5x

Combine like terms: -20x + -1.5x = -21.5x
-5 + -21.5x = 0.9 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-5 + -21.5x = 0.9 + 0.0
-5 + -21.5x = 0.9

Add '5' to each side of the equation.
-5 + 5 + -21.5x = 0.9 + 5

Combine like terms: -5 + 5 = 0
0 + -21.5x = 0.9 + 5
-21.5x = 0.9 + 5

Combine like terms: 0.9 + 5 = 5.9
-21.5x = 5.9

Divide each side by '-21.5'.
x = -0.2744186047

Simplifying
x = -0.2744186047

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