0.3(4x-3)=0.05(10x-8)

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Solution for 0.3(4x-3)=0.05(10x-8) equation: 


Simplifying
0.3(4x + -3) = 0.05(10x + -8)

Reorder the terms:
0.3(-3 + 4x) = 0.05(10x + -8)
(-3 * 0.3 + 4x * 0.3) = 0.05(10x + -8)
(-0.9 + 1.2x) = 0.05(10x + -8)

Reorder the terms:
-0.9 + 1.2x = 0.05(-8 + 10x)
-0.9 + 1.2x = (-8 * 0.05 + 10x * 0.05)
-0.9 + 1.2x = (-0.4 + 0.5x)

Solving
-0.9 + 1.2x = -0.4 + 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.
-0.9 + 1.2x + -0.5x = -0.4 + 0.5x + -0.5x

Combine like terms: 1.2x + -0.5x = 0.7x
-0.9 + 0.7x = -0.4 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.9 + 0.7x = -0.4 + 0.0
-0.9 + 0.7x = -0.4

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.7x = -0.4 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.7x = -0.4 + 0.9
0.7x = -0.4 + 0.9

Combine like terms: -0.4 + 0.9 = 0.5
0.7x = 0.5

Divide each side by '0.7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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