0.75(2x-6)=0.2(36+x)

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Solution for 0.75(2x-6)=0.2(36+x) equation: 


Simplifying
0.75(2x + -6) = 0.2(36 + x)

Reorder the terms:
0.75(-6 + 2x) = 0.2(36 + x)
(-6 * 0.75 + 2x * 0.75) = 0.2(36 + x)
(-4.5 + 1.5x) = 0.2(36 + x)
-4.5 + 1.5x = (36 * 0.2 + x * 0.2)
-4.5 + 1.5x = (7.2 + 0.2x)

Solving
-4.5 + 1.5x = 7.2 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
-4.5 + 1.5x + -0.2x = 7.2 + 0.2x + -0.2x

Combine like terms: 1.5x + -0.2x = 1.3x
-4.5 + 1.3x = 7.2 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
-4.5 + 1.3x = 7.2 + 0.0
-4.5 + 1.3x = 7.2

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 1.3x = 7.2 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 1.3x = 7.2 + 4.5
1.3x = 7.2 + 4.5

Combine like terms: 7.2 + 4.5 = 11.7
1.3x = 11.7

Divide each side by '1.3'.
x = 9

Simplifying
x = 9

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