1.5(8-x)=1.3(6-x)

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Solution for 1.5(8-x)=1.3(6-x) equation: 


Simplifying
1.5(8 + -1x) = 1.3(6 + -1x)
(8 * 1.5 + -1x * 1.5) = 1.3(6 + -1x)
(12 + -1.5x) = 1.3(6 + -1x)
12 + -1.5x = (6 * 1.3 + -1x * 1.3)
12 + -1.5x = (7.8 + -1.3x)

Solving
12 + -1.5x = 7.8 + -1.3x

Solving for variable 'x'.

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

Add '1.3x' to each side of the equation.
12 + -1.5x + 1.3x = 7.8 + -1.3x + 1.3x

Combine like terms: -1.5x + 1.3x = -0.2x
12 + -0.2x = 7.8 + -1.3x + 1.3x

Combine like terms: -1.3x + 1.3x = 0.0
12 + -0.2x = 7.8 + 0.0
12 + -0.2x = 7.8

Add '-12' to each side of the equation.
12 + -12 + -0.2x = 7.8 + -12

Combine like terms: 12 + -12 = 0
0 + -0.2x = 7.8 + -12
-0.2x = 7.8 + -12

Combine like terms: 7.8 + -12 = -4.2
-0.2x = -4.2

Divide each side by '-0.2'.
x = 21

Simplifying
x = 21

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