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

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


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

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

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

Remove parenthesis around (1 + 3x)
5 + 10x = 5x + 1 + 3x

Reorder the terms:
5 + 10x = 1 + 5x + 3x

Combine like terms: 5x + 3x = 8x
5 + 10x = 1 + 8x

Solving
5 + 10x = 1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
5 + 10x + -8x = 1 + 8x + -8x

Combine like terms: 10x + -8x = 2x
5 + 2x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
5 + 2x = 1 + 0
5 + 2x = 1

Add '-5' to each side of the equation.
5 + -5 + 2x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 1 + -5
2x = 1 + -5

Combine like terms: 1 + -5 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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