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

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


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

Reorder the terms:
5(2 + 3x) = 8(8x + 5) + 8
(2 * 5 + 3x * 5) = 8(8x + 5) + 8
(10 + 15x) = 8(8x + 5) + 8

Reorder the terms:
10 + 15x = 8(5 + 8x) + 8
10 + 15x = (5 * 8 + 8x * 8) + 8
10 + 15x = (40 + 64x) + 8

Reorder the terms:
10 + 15x = 40 + 8 + 64x

Combine like terms: 40 + 8 = 48
10 + 15x = 48 + 64x

Solving
10 + 15x = 48 + 64x

Solving for variable 'x'.

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

Add '-64x' to each side of the equation.
10 + 15x + -64x = 48 + 64x + -64x

Combine like terms: 15x + -64x = -49x
10 + -49x = 48 + 64x + -64x

Combine like terms: 64x + -64x = 0
10 + -49x = 48 + 0
10 + -49x = 48

Add '-10' to each side of the equation.
10 + -10 + -49x = 48 + -10

Combine like terms: 10 + -10 = 0
0 + -49x = 48 + -10
-49x = 48 + -10

Combine like terms: 48 + -10 = 38
-49x = 38

Divide each side by '-49'.
x = -0.7755102041

Simplifying
x = -0.7755102041

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