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

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


Simplifying
7(7 + -1x) = 1.5(5 + -1x)
(7 * 7 + -1x * 7) = 1.5(5 + -1x)
(49 + -7x) = 1.5(5 + -1x)
49 + -7x = (5 * 1.5 + -1x * 1.5)
49 + -7x = (7.5 + -1.5x)

Solving
49 + -7x = 7.5 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
49 + -7x + 1.5x = 7.5 + -1.5x + 1.5x

Combine like terms: -7x + 1.5x = -5.5x
49 + -5.5x = 7.5 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
49 + -5.5x = 7.5 + 0.0
49 + -5.5x = 7.5

Add '-49' to each side of the equation.
49 + -49 + -5.5x = 7.5 + -49

Combine like terms: 49 + -49 = 0
0 + -5.5x = 7.5 + -49
-5.5x = 7.5 + -49

Combine like terms: 7.5 + -49 = -41.5
-5.5x = -41.5

Divide each side by '-5.5'.
x = 7.545454545

Simplifying
x = 7.545454545

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