10x+5=3(3x-1)+8

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Solution for 10x+5=3(3x-1)+8 equation:


Simplifying
10x + 5 = 3(3x + -1) + 8

Reorder the terms:
5 + 10x = 3(3x + -1) + 8

Reorder the terms:
5 + 10x = 3(-1 + 3x) + 8
5 + 10x = (-1 * 3 + 3x * 3) + 8
5 + 10x = (-3 + 9x) + 8

Reorder the terms:
5 + 10x = -3 + 8 + 9x

Combine like terms: -3 + 8 = 5
5 + 10x = 5 + 9x

Add '-5' to each side of the equation.
5 + -5 + 10x = 5 + -5 + 9x

Combine like terms: 5 + -5 = 0
0 + 10x = 5 + -5 + 9x
10x = 5 + -5 + 9x

Combine like terms: 5 + -5 = 0
10x = 0 + 9x
10x = 9x

Solving
10x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10x + -9x = 9x + -9x

Combine like terms: 10x + -9x = 1x
1x = 9x + -9x

Combine like terms: 9x + -9x = 0
1x = 0

Divide each side by '1'.
x = 0

Simplifying
x = 0

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