1.6(7-x)=1.4(5-x)

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Solution for 1.6(7-x)=1.4(5-x) equation: 


Simplifying
1.6(7 + -1x) = 1.4(5 + -1x)
(7 * 1.6 + -1x * 1.6) = 1.4(5 + -1x)
(11.2 + -1.6x) = 1.4(5 + -1x)
11.2 + -1.6x = (5 * 1.4 + -1x * 1.4)
11.2 + -1.6x = (7 + -1.4x)

Solving
11.2 + -1.6x = 7 + -1.4x

Solving for variable 'x'.

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

Add '1.4x' to each side of the equation.
11.2 + -1.6x + 1.4x = 7 + -1.4x + 1.4x

Combine like terms: -1.6x + 1.4x = -0.2x
11.2 + -0.2x = 7 + -1.4x + 1.4x

Combine like terms: -1.4x + 1.4x = 0.0
11.2 + -0.2x = 7 + 0.0
11.2 + -0.2x = 7

Add '-11.2' to each side of the equation.
11.2 + -11.2 + -0.2x = 7 + -11.2

Combine like terms: 11.2 + -11.2 = 0.0
0.0 + -0.2x = 7 + -11.2
-0.2x = 7 + -11.2

Combine like terms: 7 + -11.2 = -4.2
-0.2x = -4.2

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

Simplifying
x = 21

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