8(x+5)=3x+8

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


Simplifying
8(x + 5) = 3x + 8

Reorder the terms:
8(5 + x) = 3x + 8
(5 * 8 + x * 8) = 3x + 8
(40 + 8x) = 3x + 8

Reorder the terms:
40 + 8x = 8 + 3x

Solving
40 + 8x = 8 + 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.
40 + 8x + -3x = 8 + 3x + -3x

Combine like terms: 8x + -3x = 5x
40 + 5x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + 5x = 8 + 0
40 + 5x = 8

Add '-40' to each side of the equation.
40 + -40 + 5x = 8 + -40

Combine like terms: 40 + -40 = 0
0 + 5x = 8 + -40
5x = 8 + -40

Combine like terms: 8 + -40 = -32
5x = -32

Divide each side by '5'.
x = -6.4

Simplifying
x = -6.4

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