1.3(6x-9)=2x-3

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Solution for 1.3(6x-9)=2x-3 equation: 


Simplifying
1.3(6x + -9) = 2x + -3

Reorder the terms:
1.3(-9 + 6x) = 2x + -3
(-9 * 1.3 + 6x * 1.3) = 2x + -3
(-11.7 + 7.8x) = 2x + -3

Reorder the terms:
-11.7 + 7.8x = -3 + 2x

Solving
-11.7 + 7.8x = -3 + 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.
-11.7 + 7.8x + -2x = -3 + 2x + -2x

Combine like terms: 7.8x + -2x = 5.8x
-11.7 + 5.8x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-11.7 + 5.8x = -3 + 0
-11.7 + 5.8x = -3

Add '11.7' to each side of the equation.
-11.7 + 11.7 + 5.8x = -3 + 11.7

Combine like terms: -11.7 + 11.7 = 0.0
0.0 + 5.8x = -3 + 11.7
5.8x = -3 + 11.7

Combine like terms: -3 + 11.7 = 8.7
5.8x = 8.7

Divide each side by '5.8'.
x = 1.5

Simplifying
x = 1.5

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