4(x-5)=0.75(x+6)

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Solution for 4(x-5)=0.75(x+6) equation:


Simplifying
4(x + -5) = 0.75(x + 6)

Reorder the terms:
4(-5 + x) = 0.75(x + 6)
(-5 * 4 + x * 4) = 0.75(x + 6)
(-20 + 4x) = 0.75(x + 6)

Reorder the terms:
-20 + 4x = 0.75(6 + x)
-20 + 4x = (6 * 0.75 + x * 0.75)
-20 + 4x = (4.5 + 0.75x)

Solving
-20 + 4x = 4.5 + 0.75x

Solving for variable 'x'.

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

Add '-0.75x' to each side of the equation.
-20 + 4x + -0.75x = 4.5 + 0.75x + -0.75x

Combine like terms: 4x + -0.75x = 3.25x
-20 + 3.25x = 4.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-20 + 3.25x = 4.5 + 0.00
-20 + 3.25x = 4.5

Add '20' to each side of the equation.
-20 + 20 + 3.25x = 4.5 + 20

Combine like terms: -20 + 20 = 0
0 + 3.25x = 4.5 + 20
3.25x = 4.5 + 20

Combine like terms: 4.5 + 20 = 24.5
3.25x = 24.5

Divide each side by '3.25'.
x = 7.538461538

Simplifying
x = 7.538461538

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