(4+2)(6+5x)=5-2.5(x+3)

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Solution for (4+2)(6+5x)=5-2.5(x+3) equation: 


Simplifying
(4 + 2)(6 + 5x) = 5 + -2.5(x + 3)

Combine like terms: 4 + 2 = 6
(6)(6 + 5x) = 5 + -2.5(x + 3)
(6 * 6 + 5x * 6) = 5 + -2.5(x + 3)
(36 + 30x) = 5 + -2.5(x + 3)

Reorder the terms:
36 + 30x = 5 + -2.5(3 + x)
36 + 30x = 5 + (3 * -2.5 + x * -2.5)
36 + 30x = 5 + (-7.5 + -2.5x)

Combine like terms: 5 + -7.5 = -2.5
36 + 30x = -2.5 + -2.5x

Solving
36 + 30x = -2.5 + -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.
36 + 30x + 2.5x = -2.5 + -2.5x + 2.5x

Combine like terms: 30x + 2.5x = 32.5x
36 + 32.5x = -2.5 + -2.5x + 2.5x

Combine like terms: -2.5x + 2.5x = 0.0
36 + 32.5x = -2.5 + 0.0
36 + 32.5x = -2.5

Add '-36' to each side of the equation.
36 + -36 + 32.5x = -2.5 + -36

Combine like terms: 36 + -36 = 0
0 + 32.5x = -2.5 + -36
32.5x = -2.5 + -36

Combine like terms: -2.5 + -36 = -38.5
32.5x = -38.5

Divide each side by '32.5'.
x = -1.184615385

Simplifying
x = -1.184615385

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