1.3(6x-3)=6(2+x)-5x

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Solution for 1.3(6x-3)=6(2+x)-5x equation: 


Simplifying
1.3(6x + -3) = 6(2 + x) + -5x

Reorder the terms:
1.3(-3 + 6x) = 6(2 + x) + -5x
(-3 * 1.3 + 6x * 1.3) = 6(2 + x) + -5x
(-3.9 + 7.8x) = 6(2 + x) + -5x
-3.9 + 7.8x = (2 * 6 + x * 6) + -5x
-3.9 + 7.8x = (12 + 6x) + -5x

Combine like terms: 6x + -5x = 1x
-3.9 + 7.8x = 12 + 1x

Solving
-3.9 + 7.8x = 12 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3.9 + 7.8x + -1x = 12 + 1x + -1x

Combine like terms: 7.8x + -1x = 6.8x
-3.9 + 6.8x = 12 + 1x + -1x

Combine like terms: 1x + -1x = 0
-3.9 + 6.8x = 12 + 0
-3.9 + 6.8x = 12

Add '3.9' to each side of the equation.
-3.9 + 3.9 + 6.8x = 12 + 3.9

Combine like terms: -3.9 + 3.9 = 0.0
0.0 + 6.8x = 12 + 3.9
6.8x = 12 + 3.9

Combine like terms: 12 + 3.9 = 15.9
6.8x = 15.9

Divide each side by '6.8'.
x = 2.338235294

Simplifying
x = 2.338235294

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