10x+1=2(3x+7)-1

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Solution for 10x+1=2(3x+7)-1 equation: 


Simplifying
10x + 1 = 2(3x + 7) + -1

Reorder the terms:
1 + 10x = 2(3x + 7) + -1

Reorder the terms:
1 + 10x = 2(7 + 3x) + -1
1 + 10x = (7 * 2 + 3x * 2) + -1
1 + 10x = (14 + 6x) + -1

Reorder the terms:
1 + 10x = 14 + -1 + 6x

Combine like terms: 14 + -1 = 13
1 + 10x = 13 + 6x

Solving
1 + 10x = 13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
1 + 10x + -6x = 13 + 6x + -6x

Combine like terms: 10x + -6x = 4x
1 + 4x = 13 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + 4x = 13 + 0
1 + 4x = 13

Add '-1' to each side of the equation.
1 + -1 + 4x = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 13 + -1
4x = 13 + -1

Combine like terms: 13 + -1 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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