0.6(2x+2)=0.1(2x+5)

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Solution for 0.6(2x+2)=0.1(2x+5) equation: 


Simplifying
0.6(2x + 2) = 0.1(2x + 5)

Reorder the terms:
0.6(2 + 2x) = 0.1(2x + 5)
(2 * 0.6 + 2x * 0.6) = 0.1(2x + 5)
(1.2 + 1.2x) = 0.1(2x + 5)

Reorder the terms:
1.2 + 1.2x = 0.1(5 + 2x)
1.2 + 1.2x = (5 * 0.1 + 2x * 0.1)
1.2 + 1.2x = (0.5 + 0.2x)

Solving
1.2 + 1.2x = 0.5 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
1.2 + 1.2x + -0.2x = 0.5 + 0.2x + -0.2x

Combine like terms: 1.2x + -0.2x = 1x
1.2 + 1x = 0.5 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
1.2 + 1x = 0.5 + 0.0
1.2 + 1x = 0.5

Add '-1.2' to each side of the equation.
1.2 + -1.2 + 1x = 0.5 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1x = 0.5 + -1.2
1x = 0.5 + -1.2

Combine like terms: 0.5 + -1.2 = -0.7
1x = -0.7

Divide each side by '1'.
x = -0.7

Simplifying
x = -0.7

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