.75(8x-12)=0.2(10x+15)

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Solution for .75(8x-12)=0.2(10x+15) equation:


Simplifying
0.75(8x + -12) = 0.2(10x + 15)

Reorder the terms:
0.75(-12 + 8x) = 0.2(10x + 15)
(-12 * 0.75 + 8x * 0.75) = 0.2(10x + 15)
(-9 + 6x) = 0.2(10x + 15)

Reorder the terms:
-9 + 6x = 0.2(15 + 10x)
-9 + 6x = (15 * 0.2 + 10x * 0.2)
-9 + 6x = (3 + 2x)

Solving
-9 + 6x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-9 + 6x + -2x = 3 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-9 + 4x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-9 + 4x = 3 + 0
-9 + 4x = 3

Add '9' to each side of the equation.
-9 + 9 + 4x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 3 + 9
4x = 3 + 9

Combine like terms: 3 + 9 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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