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

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

Simplifying
-1(4 + x) = 0.75(x + -6)
(4 * -1 + x * -1) = 0.75(x + -6)
(-4 + -1x) = 0.75(x + -6)

Reorder the terms:
-4 + -1x = 0.75(-6 + x)
-4 + -1x = (-6 * 0.75 + x * 0.75)
-4 + -1x = (-4.5 + 0.75x)

Solving
-4 + -1x = -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.
-4 + -1x + -0.75x = -4.5 + 0.75x + -0.75x

Combine like terms: -1x + -0.75x = -1.75x
-4 + -1.75x = -4.5 + 0.75x + -0.75x

Combine like terms: 0.75x + -0.75x = 0.00
-4 + -1.75x = -4.5 + 0.00
-4 + -1.75x = -4.5

Add '4' to each side of the equation.
-4 + 4 + -1.75x = -4.5 + 4

Combine like terms: -4 + 4 = 0
0 + -1.75x = -4.5 + 4
-1.75x = -4.5 + 4

Combine like terms: -4.5 + 4 = -0.5
-1.75x = -0.5

Divide each side by '-1.75'.
x = 0.2857142857

Simplifying
x = 0.2857142857