(10x+6)+1=(6x-3)+5

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Solution for (10x+6)+1=(6x-3)+5 equation:


Simplifying
(10x + 6) + 1 = (6x + -3) + 5

Reorder the terms:
(6 + 10x) + 1 = (6x + -3) + 5

Remove parenthesis around (6 + 10x)
6 + 10x + 1 = (6x + -3) + 5

Reorder the terms:
6 + 1 + 10x = (6x + -3) + 5

Combine like terms: 6 + 1 = 7
7 + 10x = (6x + -3) + 5

Reorder the terms:
7 + 10x = (-3 + 6x) + 5

Remove parenthesis around (-3 + 6x)
7 + 10x = -3 + 6x + 5

Reorder the terms:
7 + 10x = -3 + 5 + 6x

Combine like terms: -3 + 5 = 2
7 + 10x = 2 + 6x

Solving
7 + 10x = 2 + 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.
7 + 10x + -6x = 2 + 6x + -6x

Combine like terms: 10x + -6x = 4x
7 + 4x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + 4x = 2 + 0
7 + 4x = 2

Add '-7' to each side of the equation.
7 + -7 + 4x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 2 + -7
4x = 2 + -7

Combine like terms: 2 + -7 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25

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