-0.16(x-12)+0.3(x+3)=x+13

Solution for -0.16(x-12)+0.3(x+3)=x+13 equation:

Simplifying
-0.16(x + -12) + 0.3(x + 3) = x + 13

Reorder the terms:
-0.16(-12 + x) + 0.3(x + 3) = x + 13
(-12 * -0.16 + x * -0.16) + 0.3(x + 3) = x + 13
(1.92 + -0.16x) + 0.3(x + 3) = x + 13

Reorder the terms:
1.92 + -0.16x + 0.3(3 + x) = x + 13
1.92 + -0.16x + (3 * 0.3 + x * 0.3) = x + 13
1.92 + -0.16x + (0.9 + 0.3x) = x + 13

Reorder the terms:
1.92 + 0.9 + -0.16x + 0.3x = x + 13

Combine like terms: 1.92 + 0.9 = 2.82
2.82 + -0.16x + 0.3x = x + 13

Combine like terms: -0.16x + 0.3x = 0.14x
2.82 + 0.14x = x + 13

Reorder the terms:
2.82 + 0.14x = 13 + x

Solving
2.82 + 0.14x = 13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2.82 + 0.14x + -1x = 13 + x + -1x

Combine like terms: 0.14x + -1x = -0.86x
2.82 + -0.86x = 13 + x + -1x

Combine like terms: x + -1x = 0
2.82 + -0.86x = 13 + 0
2.82 + -0.86x = 13

Add '-2.82' to each side of the equation.
2.82 + -2.82 + -0.86x = 13 + -2.82

Combine like terms: 2.82 + -2.82 = 0.00
0.00 + -0.86x = 13 + -2.82
-0.86x = 13 + -2.82

Combine like terms: 13 + -2.82 = 10.18
-0.86x = 10.18

Divide each side by '-0.86'.
x = -11.8372093

Simplifying
x = -11.8372093