1.08(14-x)=.84(24-x)

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Solution for 1.08(14-x)=.84(24-x) equation:


Simplifying
1.08(14 + -1x) = 0.84(24 + -1x)
(14 * 1.08 + -1x * 1.08) = 0.84(24 + -1x)
(15.12 + -1.08x) = 0.84(24 + -1x)
15.12 + -1.08x = (24 * 0.84 + -1x * 0.84)
15.12 + -1.08x = (20.16 + -0.84x)

Solving
15.12 + -1.08x = 20.16 + -0.84x

Solving for variable 'x'.

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

Add '0.84x' to each side of the equation.
15.12 + -1.08x + 0.84x = 20.16 + -0.84x + 0.84x

Combine like terms: -1.08x + 0.84x = -0.24x
15.12 + -0.24x = 20.16 + -0.84x + 0.84x

Combine like terms: -0.84x + 0.84x = 0.00
15.12 + -0.24x = 20.16 + 0.00
15.12 + -0.24x = 20.16

Add '-15.12' to each side of the equation.
15.12 + -15.12 + -0.24x = 20.16 + -15.12

Combine like terms: 15.12 + -15.12 = 0.00
0.00 + -0.24x = 20.16 + -15.12
-0.24x = 20.16 + -15.12

Combine like terms: 20.16 + -15.12 = 5.04
-0.24x = 5.04

Divide each side by '-0.24'.
x = -21

Simplifying
x = -21

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