(1+5)(4+5x)=40-1.5(x+3)

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Solution for (1+5)(4+5x)=40-1.5(x+3) equation:


Simplifying
(1 + 5)(4 + 5x) = 40 + -1.5(x + 3)

Combine like terms: 1 + 5 = 6
(6)(4 + 5x) = 40 + -1.5(x + 3)
(4 * 6 + 5x * 6) = 40 + -1.5(x + 3)
(24 + 30x) = 40 + -1.5(x + 3)

Reorder the terms:
24 + 30x = 40 + -1.5(3 + x)
24 + 30x = 40 + (3 * -1.5 + x * -1.5)
24 + 30x = 40 + (-4.5 + -1.5x)

Combine like terms: 40 + -4.5 = 35.5
24 + 30x = 35.5 + -1.5x

Solving
24 + 30x = 35.5 + -1.5x

Solving for variable 'x'.

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

Add '1.5x' to each side of the equation.
24 + 30x + 1.5x = 35.5 + -1.5x + 1.5x

Combine like terms: 30x + 1.5x = 31.5x
24 + 31.5x = 35.5 + -1.5x + 1.5x

Combine like terms: -1.5x + 1.5x = 0.0
24 + 31.5x = 35.5 + 0.0
24 + 31.5x = 35.5

Add '-24' to each side of the equation.
24 + -24 + 31.5x = 35.5 + -24

Combine like terms: 24 + -24 = 0
0 + 31.5x = 35.5 + -24
31.5x = 35.5 + -24

Combine like terms: 35.5 + -24 = 11.5
31.5x = 11.5

Divide each side by '31.5'.
x = 0.3650793651

Simplifying
x = 0.3650793651

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