x+800(2.402)=x(1.690)+1.5x(2.402)

Solution for x+800(2.402)=x(1.690)+1.5x(2.402) equation:

Simplifying
x + 800(2.402) = x(1.690) + 1.5x(2.402)

Multiply 800 * 2.402
x + 1921.6 = x(1.690) + 1.5x(2.402)

Reorder the terms:
1921.6 + x = x(1.690) + 1.5x(2.402)

Reorder the terms for easier multiplication:
1921.6 + x = 1.690x + 1.5x(2.402)

Reorder the terms for easier multiplication:
1921.6 + x = 1.690x + 1.5 * 2.402x

Multiply 1.5 * 2.402
1921.6 + x = 1.690x + 3.603x

Combine like terms: 1.690x + 3.603x = 5.293x
1921.6 + x = 5.293x

Solving
1921.6 + x = 5.293x

Solving for variable 'x'.

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

Add '-5.293x' to each side of the equation.
1921.6 + x + -5.293x = 5.293x + -5.293x

Combine like terms: x + -5.293x = -4.293x
1921.6 + -4.293x = 5.293x + -5.293x

Combine like terms: 5.293x + -5.293x = 0.000
1921.6 + -4.293x = 0.000

Add '-1921.6' to each side of the equation.
1921.6 + -1921.6 + -4.293x = 0.000 + -1921.6

Combine like terms: 1921.6 + -1921.6 = 0.0
0.0 + -4.293x = 0.000 + -1921.6
-4.293x = 0.000 + -1921.6

Combine like terms: 0.000 + -1921.6 = -1921.6
-4.293x = -1921.6

Divide each side by '-4.293'.
x = 447.6123923

Simplifying
x = 447.6123923