7.5=2+1.5(3x+1)

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Solution for 7.5=2+1.5(3x+1) equation: 


Simplifying
7.5 = 2 + 1.5(3x + 1)

Reorder the terms:
7.5 = 2 + 1.5(1 + 3x)
7.5 = 2 + (1 * 1.5 + 3x * 1.5)
7.5 = 2 + (1.5 + 4.5x)

Combine like terms: 2 + 1.5 = 3.5
7.5 = 3.5 + 4.5x

Solving
7.5 = 3.5 + 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.
7.5 + -4.5x = 3.5 + 4.5x + -4.5x

Combine like terms: 4.5x + -4.5x = 0.0
7.5 + -4.5x = 3.5 + 0.0
7.5 + -4.5x = 3.5

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -4.5x = 3.5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -4.5x = 3.5 + -7.5
-4.5x = 3.5 + -7.5

Combine like terms: 3.5 + -7.5 = -4
-4.5x = -4

Divide each side by '-4.5'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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