0.25(8x-3)=0.6(3x-4)+9

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Solution for 0.25(8x-3)=0.6(3x-4)+9 equation:


Simplifying
0.25(8x + -3) = 0.6(3x + -4) + 9

Reorder the terms:
0.25(-3 + 8x) = 0.6(3x + -4) + 9
(-3 * 0.25 + 8x * 0.25) = 0.6(3x + -4) + 9
(-0.75 + 2x) = 0.6(3x + -4) + 9

Reorder the terms:
-0.75 + 2x = 0.6(-4 + 3x) + 9
-0.75 + 2x = (-4 * 0.6 + 3x * 0.6) + 9
-0.75 + 2x = (-2.4 + 1.8x) + 9

Reorder the terms:
-0.75 + 2x = -2.4 + 9 + 1.8x

Combine like terms: -2.4 + 9 = 6.6
-0.75 + 2x = 6.6 + 1.8x

Solving
-0.75 + 2x = 6.6 + 1.8x

Solving for variable 'x'.

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

Add '-1.8x' to each side of the equation.
-0.75 + 2x + -1.8x = 6.6 + 1.8x + -1.8x

Combine like terms: 2x + -1.8x = 0.2x
-0.75 + 0.2x = 6.6 + 1.8x + -1.8x

Combine like terms: 1.8x + -1.8x = 0.0
-0.75 + 0.2x = 6.6 + 0.0
-0.75 + 0.2x = 6.6

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 0.2x = 6.6 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 0.2x = 6.6 + 0.75
0.2x = 6.6 + 0.75

Combine like terms: 6.6 + 0.75 = 7.35
0.2x = 7.35

Divide each side by '0.2'.
x = 36.75

Simplifying
x = 36.75

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