.24(4x+2)=.20(10x+1)

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Solution for .24(4x+2)=.20(10x+1) equation: 


Simplifying
0.24(4x + 2) = 0.20(10x + 1)

Reorder the terms:
0.24(2 + 4x) = 0.20(10x + 1)
(2 * 0.24 + 4x * 0.24) = 0.20(10x + 1)
(0.48 + 0.96x) = 0.20(10x + 1)

Reorder the terms:
0.48 + 0.96x = 0.20(1 + 10x)
0.48 + 0.96x = (1 * 0.20 + 10x * 0.20)
0.48 + 0.96x = (0.2 + 2x)

Solving
0.48 + 0.96x = 0.2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
0.48 + 0.96x + -2x = 0.2 + 2x + -2x

Combine like terms: 0.96x + -2x = -1.04x
0.48 + -1.04x = 0.2 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.48 + -1.04x = 0.2 + 0
0.48 + -1.04x = 0.2

Add '-0.48' to each side of the equation.
0.48 + -0.48 + -1.04x = 0.2 + -0.48

Combine like terms: 0.48 + -0.48 = 0.00
0.00 + -1.04x = 0.2 + -0.48
-1.04x = 0.2 + -0.48

Combine like terms: 0.2 + -0.48 = -0.28
-1.04x = -0.28

Divide each side by '-1.04'.
x = 0.2692307692

Simplifying
x = 0.2692307692

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