36=1.5(2.5+3x+2)

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Solution for 36=1.5(2.5+3x+2) equation:


Simplifying
36 = 1.5(2.5 + 3x + 2)

Reorder the terms:
36 = 1.5(2.5 + 2 + 3x)

Combine like terms: 2.5 + 2 = 4.5
36 = 1.5(4.5 + 3x)
36 = (4.5 * 1.5 + 3x * 1.5)
36 = (6.75 + 4.5x)

Solving
36 = 6.75 + 4.5x

Solving for variable 'x'.

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

Add '-4.5x' to each side of the equation.
36 + -4.5x = 6.75 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
36 + -4.5x = 6.75 + 0.0
36 + -4.5x = 6.75

Add '-36' to each side of the equation.
36 + -36 + -4.5x = 6.75 + -36

Combine like terms: 36 + -36 = 0
0 + -4.5x = 6.75 + -36
-4.5x = 6.75 + -36

Combine like terms: 6.75 + -36 = -29.25
-4.5x = -29.25

Divide each side by '-4.5'.
x = 6.5

Simplifying
x = 6.5

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