(1+4)(6+2x)=15-7.5(x+1)

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Solution for (1+4)(6+2x)=15-7.5(x+1) equation: 


Simplifying
(1 + 4)(6 + 2x) = 15 + -7.5(x + 1)

Combine like terms: 1 + 4 = 5
(5)(6 + 2x) = 15 + -7.5(x + 1)
(6 * 5 + 2x * 5) = 15 + -7.5(x + 1)
(30 + 10x) = 15 + -7.5(x + 1)

Reorder the terms:
30 + 10x = 15 + -7.5(1 + x)
30 + 10x = 15 + (1 * -7.5 + x * -7.5)
30 + 10x = 15 + (-7.5 + -7.5x)

Combine like terms: 15 + -7.5 = 7.5
30 + 10x = 7.5 + -7.5x

Solving
30 + 10x = 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.
30 + 10x + 7.5x = 7.5 + -7.5x + 7.5x

Combine like terms: 10x + 7.5x = 17.5x
30 + 17.5x = 7.5 + -7.5x + 7.5x

Combine like terms: -7.5x + 7.5x = 0.0
30 + 17.5x = 7.5 + 0.0
30 + 17.5x = 7.5

Add '-30' to each side of the equation.
30 + -30 + 17.5x = 7.5 + -30

Combine like terms: 30 + -30 = 0
0 + 17.5x = 7.5 + -30
17.5x = 7.5 + -30

Combine like terms: 7.5 + -30 = -22.5
17.5x = -22.5

Divide each side by '17.5'.
x = -1.285714286

Simplifying
x = -1.285714286

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