1.4(7-x)=1.2(5-x)

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Solution for 1.4(7-x)=1.2(5-x) equation: 


Simplifying
1.4(7 + -1x) = 1.2(5 + -1x)
(7 * 1.4 + -1x * 1.4) = 1.2(5 + -1x)
(9.8 + -1.4x) = 1.2(5 + -1x)
9.8 + -1.4x = (5 * 1.2 + -1x * 1.2)
9.8 + -1.4x = (6 + -1.2x)

Solving
9.8 + -1.4x = 6 + -1.2x

Solving for variable 'x'.

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

Add '1.2x' to each side of the equation.
9.8 + -1.4x + 1.2x = 6 + -1.2x + 1.2x

Combine like terms: -1.4x + 1.2x = -0.2x
9.8 + -0.2x = 6 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
9.8 + -0.2x = 6 + 0.0
9.8 + -0.2x = 6

Add '-9.8' to each side of the equation.
9.8 + -9.8 + -0.2x = 6 + -9.8

Combine like terms: 9.8 + -9.8 = 0.0
0.0 + -0.2x = 6 + -9.8
-0.2x = 6 + -9.8

Combine like terms: 6 + -9.8 = -3.8
-0.2x = -3.8

Divide each side by '-0.2'.
x = 19

Simplifying
x = 19

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