0.75(2x+6)-3=3(x+3)

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Solution for 0.75(2x+6)-3=3(x+3) equation: 


Simplifying
0.75(2x + 6) + -3 = 3(x + 3)

Reorder the terms:
0.75(6 + 2x) + -3 = 3(x + 3)
(6 * 0.75 + 2x * 0.75) + -3 = 3(x + 3)
(4.5 + 1.5x) + -3 = 3(x + 3)

Reorder the terms:
4.5 + -3 + 1.5x = 3(x + 3)

Combine like terms: 4.5 + -3 = 1.5
1.5 + 1.5x = 3(x + 3)

Reorder the terms:
1.5 + 1.5x = 3(3 + x)
1.5 + 1.5x = (3 * 3 + x * 3)
1.5 + 1.5x = (9 + 3x)

Solving
1.5 + 1.5x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1.5 + 1.5x + -3x = 9 + 3x + -3x

Combine like terms: 1.5x + -3x = -1.5x
1.5 + -1.5x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
1.5 + -1.5x = 9 + 0
1.5 + -1.5x = 9

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -1.5x = 9 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.5x = 9 + -1.5
-1.5x = 9 + -1.5

Combine like terms: 9 + -1.5 = 7.5
-1.5x = 7.5

Divide each side by '-1.5'.
x = -5

Simplifying
x = -5

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