6(5.1-x)=4(x+8.9)

Solution for 6(5.1-x)=4(x+8.9) equation:

Simplifying
6(5.1 + -1x) = 4(x + 8.9)
(5.1 * 6 + -1x * 6) = 4(x + 8.9)
(30.6 + -6x) = 4(x + 8.9)

Reorder the terms:
30.6 + -6x = 4(8.9 + x)
30.6 + -6x = (8.9 * 4 + x * 4)
30.6 + -6x = (35.6 + 4x)

Solving
30.6 + -6x = 35.6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30.6 + -6x + -4x = 35.6 + 4x + -4x

Combine like terms: -6x + -4x = -10x
30.6 + -10x = 35.6 + 4x + -4x

Combine like terms: 4x + -4x = 0
30.6 + -10x = 35.6 + 0
30.6 + -10x = 35.6

Add '-30.6' to each side of the equation.
30.6 + -30.6 + -10x = 35.6 + -30.6

Combine like terms: 30.6 + -30.6 = 0.0
0.0 + -10x = 35.6 + -30.6
-10x = 35.6 + -30.6

Combine like terms: 35.6 + -30.6 = 5
-10x = 5

Divide each side by '-10'.
x = -0.5

Simplifying
x = -0.5