(4+5)(6+3x)=30-7.5(x+3)

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Solution for (4+5)(6+3x)=30-7.5(x+3) equation: 


Simplifying
(4 + 5)(6 + 3x) = 30 + -7.5(x + 3)

Combine like terms: 4 + 5 = 9
(9)(6 + 3x) = 30 + -7.5(x + 3)
(6 * 9 + 3x * 9) = 30 + -7.5(x + 3)
(54 + 27x) = 30 + -7.5(x + 3)

Reorder the terms:
54 + 27x = 30 + -7.5(3 + x)
54 + 27x = 30 + (3 * -7.5 + x * -7.5)
54 + 27x = 30 + (-22.5 + -7.5x)

Combine like terms: 30 + -22.5 = 7.5
54 + 27x = 7.5 + -7.5x

Solving
54 + 27x = 7.5 + -7.5x

Solving for variable 'x'.

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

Add '7.5x' to each side of the equation.
54 + 27x + 7.5x = 7.5 + -7.5x + 7.5x

Combine like terms: 27x + 7.5x = 34.5x
54 + 34.5x = 7.5 + -7.5x + 7.5x

Combine like terms: -7.5x + 7.5x = 0.0
54 + 34.5x = 7.5 + 0.0
54 + 34.5x = 7.5

Add '-54' to each side of the equation.
54 + -54 + 34.5x = 7.5 + -54

Combine like terms: 54 + -54 = 0
0 + 34.5x = 7.5 + -54
34.5x = 7.5 + -54

Combine like terms: 7.5 + -54 = -46.5
34.5x = -46.5

Divide each side by '34.5'.
x = -1.347826087

Simplifying
x = -1.347826087

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