5(3x-8)-6=5(x-3)+29

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Solution for 5(3x-8)-6=5(x-3)+29 equation:


Simplifying
5(3x + -8) + -6 = 5(x + -3) + 29

Reorder the terms:
5(-8 + 3x) + -6 = 5(x + -3) + 29
(-8 * 5 + 3x * 5) + -6 = 5(x + -3) + 29
(-40 + 15x) + -6 = 5(x + -3) + 29

Reorder the terms:
-40 + -6 + 15x = 5(x + -3) + 29

Combine like terms: -40 + -6 = -46
-46 + 15x = 5(x + -3) + 29

Reorder the terms:
-46 + 15x = 5(-3 + x) + 29
-46 + 15x = (-3 * 5 + x * 5) + 29
-46 + 15x = (-15 + 5x) + 29

Reorder the terms:
-46 + 15x = -15 + 29 + 5x

Combine like terms: -15 + 29 = 14
-46 + 15x = 14 + 5x

Solving
-46 + 15x = 14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-46 + 15x + -5x = 14 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-46 + 10x = 14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-46 + 10x = 14 + 0
-46 + 10x = 14

Add '46' to each side of the equation.
-46 + 46 + 10x = 14 + 46

Combine like terms: -46 + 46 = 0
0 + 10x = 14 + 46
10x = 14 + 46

Combine like terms: 14 + 46 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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