8.93-.11(x+3)=1.25x+.09(x-3)

Solution for 8.93-.11(x+3)=1.25x+.09(x-3) equation:

Simplifying
8.93 + -0.11(x + 3) = 1.25x + 0.09(x + -3)

Reorder the terms:
8.93 + -0.11(3 + x) = 1.25x + 0.09(x + -3)
8.93 + (3 * -0.11 + x * -0.11) = 1.25x + 0.09(x + -3)
8.93 + (-0.33 + -0.11x) = 1.25x + 0.09(x + -3)

Combine like terms: 8.93 + -0.33 = 8.6
8.6 + -0.11x = 1.25x + 0.09(x + -3)

Reorder the terms:
8.6 + -0.11x = 1.25x + 0.09(-3 + x)
8.6 + -0.11x = 1.25x + (-3 * 0.09 + x * 0.09)
8.6 + -0.11x = 1.25x + (-0.27 + 0.09x)

Reorder the terms:
8.6 + -0.11x = -0.27 + 1.25x + 0.09x

Combine like terms: 1.25x + 0.09x = 1.34x
8.6 + -0.11x = -0.27 + 1.34x

Solving
8.6 + -0.11x = -0.27 + 1.34x

Solving for variable 'x'.

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

Add '-1.34x' to each side of the equation.
8.6 + -0.11x + -1.34x = -0.27 + 1.34x + -1.34x

Combine like terms: -0.11x + -1.34x = -1.45x
8.6 + -1.45x = -0.27 + 1.34x + -1.34x

Combine like terms: 1.34x + -1.34x = 0.00
8.6 + -1.45x = -0.27 + 0.00
8.6 + -1.45x = -0.27

Add '-8.6' to each side of the equation.
8.6 + -8.6 + -1.45x = -0.27 + -8.6

Combine like terms: 8.6 + -8.6 = 0.0
0.0 + -1.45x = -0.27 + -8.6
-1.45x = -0.27 + -8.6

Combine like terms: -0.27 + -8.6 = -8.87
-1.45x = -8.87

Divide each side by '-1.45'.
x = 6.117241379

Simplifying
x = 6.117241379