0.2(10x-2)=0.5(2+3.6x)

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Solution for 0.2(10x-2)=0.5(2+3.6x) equation:


Simplifying
0.2(10x + -2) = 0.5(2 + 3.6x)

Reorder the terms:
0.2(-2 + 10x) = 0.5(2 + 3.6x)
(-2 * 0.2 + 10x * 0.2) = 0.5(2 + 3.6x)
(-0.4 + 2x) = 0.5(2 + 3.6x)
-0.4 + 2x = (2 * 0.5 + 3.6x * 0.5)
-0.4 + 2x = (1 + 1.8x)

Solving
-0.4 + 2x = 1 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
-0.4 + 2x + -1.8x = 1 + 1.8x + -1.8x

Combine like terms: 2x + -1.8x = 0.2x
-0.4 + 0.2x = 1 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
-0.4 + 0.2x = 1 + 0.0
-0.4 + 0.2x = 1

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 0.2x = 1 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 0.2x = 1 + 0.4
0.2x = 1 + 0.4

Combine like terms: 1 + 0.4 = 1.4
0.2x = 1.4

Divide each side by '0.2'.
x = 7

Simplifying
x = 7

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