5(8x-3)+6=8(6x+5)-20

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Solution for 5(8x-3)+6=8(6x+5)-20 equation: 


Simplifying
5(8x + -3) + 6 = 8(6x + 5) + -20

Reorder the terms:
5(-3 + 8x) + 6 = 8(6x + 5) + -20
(-3 * 5 + 8x * 5) + 6 = 8(6x + 5) + -20
(-15 + 40x) + 6 = 8(6x + 5) + -20

Reorder the terms:
-15 + 6 + 40x = 8(6x + 5) + -20

Combine like terms: -15 + 6 = -9
-9 + 40x = 8(6x + 5) + -20

Reorder the terms:
-9 + 40x = 8(5 + 6x) + -20
-9 + 40x = (5 * 8 + 6x * 8) + -20
-9 + 40x = (40 + 48x) + -20

Reorder the terms:
-9 + 40x = 40 + -20 + 48x

Combine like terms: 40 + -20 = 20
-9 + 40x = 20 + 48x

Solving
-9 + 40x = 20 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-9 + 40x + -48x = 20 + 48x + -48x

Combine like terms: 40x + -48x = -8x
-9 + -8x = 20 + 48x + -48x

Combine like terms: 48x + -48x = 0
-9 + -8x = 20 + 0
-9 + -8x = 20

Add '9' to each side of the equation.
-9 + 9 + -8x = 20 + 9

Combine like terms: -9 + 9 = 0
0 + -8x = 20 + 9
-8x = 20 + 9

Combine like terms: 20 + 9 = 29
-8x = 29

Divide each side by '-8'.
x = -3.625

Simplifying
x = -3.625

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