.5(18-5x)=.3(6-4x)

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Solution for .5(18-5x)=.3(6-4x) equation:


Simplifying
0.5(18 + -5x) = 0.3(6 + -4x)
(18 * 0.5 + -5x * 0.5) = 0.3(6 + -4x)
(9 + -2.5x) = 0.3(6 + -4x)
9 + -2.5x = (6 * 0.3 + -4x * 0.3)
9 + -2.5x = (1.8 + -1.2x)

Solving
9 + -2.5x = 1.8 + -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 + -2.5x + 1.2x = 1.8 + -1.2x + 1.2x

Combine like terms: -2.5x + 1.2x = -1.3x
9 + -1.3x = 1.8 + -1.2x + 1.2x

Combine like terms: -1.2x + 1.2x = 0.0
9 + -1.3x = 1.8 + 0.0
9 + -1.3x = 1.8

Add '-9' to each side of the equation.
9 + -9 + -1.3x = 1.8 + -9

Combine like terms: 9 + -9 = 0
0 + -1.3x = 1.8 + -9
-1.3x = 1.8 + -9

Combine like terms: 1.8 + -9 = -7.2
-1.3x = -7.2

Divide each side by '-1.3'.
x = 5.538461538

Simplifying
x = 5.538461538

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