0.2(x+7)=1.2(x-6)

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Solution for 0.2(x+7)=1.2(x-6) equation: 


Simplifying
0.2(x + 7) = 1.2(x + -6)

Reorder the terms:
0.2(7 + x) = 1.2(x + -6)
(7 * 0.2 + x * 0.2) = 1.2(x + -6)
(1.4 + 0.2x) = 1.2(x + -6)

Reorder the terms:
1.4 + 0.2x = 1.2(-6 + x)
1.4 + 0.2x = (-6 * 1.2 + x * 1.2)
1.4 + 0.2x = (-7.2 + 1.2x)

Solving
1.4 + 0.2x = -7.2 + 1.2x

Solving for variable 'x'.

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

Add '-1.2x' to each side of the equation.
1.4 + 0.2x + -1.2x = -7.2 + 1.2x + -1.2x

Combine like terms: 0.2x + -1.2x = -1x
1.4 + -1x = -7.2 + 1.2x + -1.2x

Combine like terms: 1.2x + -1.2x = 0.0
1.4 + -1x = -7.2 + 0.0
1.4 + -1x = -7.2

Add '-1.4' to each side of the equation.
1.4 + -1.4 + -1x = -7.2 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + -1x = -7.2 + -1.4
-1x = -7.2 + -1.4

Combine like terms: -7.2 + -1.4 = -8.6
-1x = -8.6

Divide each side by '-1'.
x = 8.6

Simplifying
x = 8.6

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