1.5(6)+2.25(5)=(1.5+2.25)x

Solution for 1.5(6)+2.25(5)=(1.5+2.25)x equation:

Simplifying
1.5(6) + 2.25(5) = (1.5 + 2.25) * x

Multiply 1.5 * 6
9 + 2.25(5) = (1.5 + 2.25) * x

Multiply 2.25 * 5
9 + 11.25 = (1.5 + 2.25) * x

Combine like terms: 9 + 11.25 = 20.25
20.25 = (1.5 + 2.25) * x

Combine like terms: 1.5 + 2.25 = 3.75
20.25 = (3.75) * x

Solving
20.25 = 3.75x

Solving for variable 'x'.

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

Add '-3.75x' to each side of the equation.
20.25 + -3.75x = 3.75x + -3.75x

Combine like terms: 3.75x + -3.75x = 0.00
20.25 + -3.75x = 0.00

Add '-20.25' to each side of the equation.
20.25 + -20.25 + -3.75x = 0.00 + -20.25

Combine like terms: 20.25 + -20.25 = 0.00
0.00 + -3.75x = 0.00 + -20.25
-3.75x = 0.00 + -20.25

Combine like terms: 0.00 + -20.25 = -20.25
-3.75x = -20.25

Divide each side by '-3.75'.
x = 5.4

Simplifying
x = 5.4