8(3x+2)=4(5x+1)

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Solution for 8(3x+2)=4(5x+1) equation: 


Simplifying
8(3x + 2) = 4(5x + 1)

Reorder the terms:
8(2 + 3x) = 4(5x + 1)
(2 * 8 + 3x * 8) = 4(5x + 1)
(16 + 24x) = 4(5x + 1)

Reorder the terms:
16 + 24x = 4(1 + 5x)
16 + 24x = (1 * 4 + 5x * 4)
16 + 24x = (4 + 20x)

Solving
16 + 24x = 4 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
16 + 24x + -20x = 4 + 20x + -20x

Combine like terms: 24x + -20x = 4x
16 + 4x = 4 + 20x + -20x

Combine like terms: 20x + -20x = 0
16 + 4x = 4 + 0
16 + 4x = 4

Add '-16' to each side of the equation.
16 + -16 + 4x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 4 + -16
4x = 4 + -16

Combine like terms: 4 + -16 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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