5(4x+3)+2(x+6)=3(x+8)

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Solution for 5(4x+3)+2(x+6)=3(x+8) equation:


Simplifying
5(4x + 3) + 2(x + 6) = 3(x + 8)

Reorder the terms:
5(3 + 4x) + 2(x + 6) = 3(x + 8)
(3 * 5 + 4x * 5) + 2(x + 6) = 3(x + 8)
(15 + 20x) + 2(x + 6) = 3(x + 8)

Reorder the terms:
15 + 20x + 2(6 + x) = 3(x + 8)
15 + 20x + (6 * 2 + x * 2) = 3(x + 8)
15 + 20x + (12 + 2x) = 3(x + 8)

Reorder the terms:
15 + 12 + 20x + 2x = 3(x + 8)

Combine like terms: 15 + 12 = 27
27 + 20x + 2x = 3(x + 8)

Combine like terms: 20x + 2x = 22x
27 + 22x = 3(x + 8)

Reorder the terms:
27 + 22x = 3(8 + x)
27 + 22x = (8 * 3 + x * 3)
27 + 22x = (24 + 3x)

Solving
27 + 22x = 24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
27 + 22x + -3x = 24 + 3x + -3x

Combine like terms: 22x + -3x = 19x
27 + 19x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
27 + 19x = 24 + 0
27 + 19x = 24

Add '-27' to each side of the equation.
27 + -27 + 19x = 24 + -27

Combine like terms: 27 + -27 = 0
0 + 19x = 24 + -27
19x = 24 + -27

Combine like terms: 24 + -27 = -3
19x = -3

Divide each side by '19'.
x = -0.1578947368

Simplifying
x = -0.1578947368

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