(4+2)(5+4x)=20-2.5(x+3)

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Solution for (4+2)(5+4x)=20-2.5(x+3) equation:


Simplifying
(4 + 2)(5 + 4x) = 20 + -2.5(x + 3)

Combine like terms: 4 + 2 = 6
(6)(5 + 4x) = 20 + -2.5(x + 3)
(5 * 6 + 4x * 6) = 20 + -2.5(x + 3)
(30 + 24x) = 20 + -2.5(x + 3)

Reorder the terms:
30 + 24x = 20 + -2.5(3 + x)
30 + 24x = 20 + (3 * -2.5 + x * -2.5)
30 + 24x = 20 + (-7.5 + -2.5x)

Combine like terms: 20 + -7.5 = 12.5
30 + 24x = 12.5 + -2.5x

Solving
30 + 24x = 12.5 + -2.5x

Solving for variable 'x'.

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

Add '2.5x' to each side of the equation.
30 + 24x + 2.5x = 12.5 + -2.5x + 2.5x

Combine like terms: 24x + 2.5x = 26.5x
30 + 26.5x = 12.5 + -2.5x + 2.5x

Combine like terms: -2.5x + 2.5x = 0.0
30 + 26.5x = 12.5 + 0.0
30 + 26.5x = 12.5

Add '-30' to each side of the equation.
30 + -30 + 26.5x = 12.5 + -30

Combine like terms: 30 + -30 = 0
0 + 26.5x = 12.5 + -30
26.5x = 12.5 + -30

Combine like terms: 12.5 + -30 = -17.5
26.5x = -17.5

Divide each side by '26.5'.
x = -0.6603773585

Simplifying
x = -0.6603773585

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