(4+1)(3+5x)=10-4.5(x+5)

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Solution for (4+1)(3+5x)=10-4.5(x+5) equation:


Simplifying
(4 + 1)(3 + 5x) = 10 + -4.5(x + 5)

Combine like terms: 4 + 1 = 5
(5)(3 + 5x) = 10 + -4.5(x + 5)
(3 * 5 + 5x * 5) = 10 + -4.5(x + 5)
(15 + 25x) = 10 + -4.5(x + 5)

Reorder the terms:
15 + 25x = 10 + -4.5(5 + x)
15 + 25x = 10 + (5 * -4.5 + x * -4.5)
15 + 25x = 10 + (-22.5 + -4.5x)

Combine like terms: 10 + -22.5 = -12.5
15 + 25x = -12.5 + -4.5x

Solving
15 + 25x = -12.5 + -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.
15 + 25x + 4.5x = -12.5 + -4.5x + 4.5x

Combine like terms: 25x + 4.5x = 29.5x
15 + 29.5x = -12.5 + -4.5x + 4.5x

Combine like terms: -4.5x + 4.5x = 0.0
15 + 29.5x = -12.5 + 0.0
15 + 29.5x = -12.5

Add '-15' to each side of the equation.
15 + -15 + 29.5x = -12.5 + -15

Combine like terms: 15 + -15 = 0
0 + 29.5x = -12.5 + -15
29.5x = -12.5 + -15

Combine like terms: -12.5 + -15 = -27.5
29.5x = -27.5

Divide each side by '29.5'.
x = -0.9322033898

Simplifying
x = -0.9322033898

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