1.5(7-x)=1.3(5-x)

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Solution for 1.5(7-x)=1.3(5-x) equation: 


Simplifying
1.5(7 + -1x) = 1.3(5 + -1x)
(7 * 1.5 + -1x * 1.5) = 1.3(5 + -1x)
(10.5 + -1.5x) = 1.3(5 + -1x)
10.5 + -1.5x = (5 * 1.3 + -1x * 1.3)
10.5 + -1.5x = (6.5 + -1.3x)

Solving
10.5 + -1.5x = 6.5 + -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.
10.5 + -1.5x + 1.3x = 6.5 + -1.3x + 1.3x

Combine like terms: -1.5x + 1.3x = -0.2x
10.5 + -0.2x = 6.5 + -1.3x + 1.3x

Combine like terms: -1.3x + 1.3x = 0.0
10.5 + -0.2x = 6.5 + 0.0
10.5 + -0.2x = 6.5

Add '-10.5' to each side of the equation.
10.5 + -10.5 + -0.2x = 6.5 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + -0.2x = 6.5 + -10.5
-0.2x = 6.5 + -10.5

Combine like terms: 6.5 + -10.5 = -4
-0.2x = -4

Divide each side by '-0.2'.
x = 20

Simplifying
x = 20

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