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

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


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

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

Combine like terms: 3x + -8x = -5x
5 + -5x = 8(5x + 3)

Reorder the terms:
5 + -5x = 8(3 + 5x)
5 + -5x = (3 * 8 + 5x * 8)
5 + -5x = (24 + 40x)

Solving
5 + -5x = 24 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
5 + -5x + -40x = 24 + 40x + -40x

Combine like terms: -5x + -40x = -45x
5 + -45x = 24 + 40x + -40x

Combine like terms: 40x + -40x = 0
5 + -45x = 24 + 0
5 + -45x = 24

Add '-5' to each side of the equation.
5 + -5 + -45x = 24 + -5

Combine like terms: 5 + -5 = 0
0 + -45x = 24 + -5
-45x = 24 + -5

Combine like terms: 24 + -5 = 19
-45x = 19

Divide each side by '-45'.
x = -0.4222222222

Simplifying
x = -0.4222222222

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