0.4(3.4x-1)=0.2(5.4x+9)

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Solution for 0.4(3.4x-1)=0.2(5.4x+9) equation: 


Simplifying
0.4(3.4x + -1) = 0.2(5.4x + 9)

Reorder the terms:
0.4(-1 + 3.4x) = 0.2(5.4x + 9)
(-1 * 0.4 + 3.4x * 0.4) = 0.2(5.4x + 9)
(-0.4 + 1.36x) = 0.2(5.4x + 9)

Reorder the terms:
-0.4 + 1.36x = 0.2(9 + 5.4x)
-0.4 + 1.36x = (9 * 0.2 + 5.4x * 0.2)
-0.4 + 1.36x = (1.8 + 1.08x)

Solving
-0.4 + 1.36x = 1.8 + 1.08x

Solving for variable 'x'.

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

Add '-1.08x' to each side of the equation.
-0.4 + 1.36x + -1.08x = 1.8 + 1.08x + -1.08x

Combine like terms: 1.36x + -1.08x = 0.28x
-0.4 + 0.28x = 1.8 + 1.08x + -1.08x

Combine like terms: 1.08x + -1.08x = 0.00
-0.4 + 0.28x = 1.8 + 0.00
-0.4 + 0.28x = 1.8

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.28x = 1.8 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.28x = 1.8 + 0.4
0.28x = 1.8 + 0.4

Combine like terms: 1.8 + 0.4 = 2.2
0.28x = 2.2

Divide each side by '0.28'.
x = 7.857142857

Simplifying
x = 7.857142857

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