5(x+2)+x=3(x+1)+1

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Solution for 5(x+2)+x=3(x+1)+1 equation: 


Simplifying
5(x + 2) + x = 3(x + 1) + 1

Reorder the terms:
5(2 + x) + x = 3(x + 1) + 1
(2 * 5 + x * 5) + x = 3(x + 1) + 1
(10 + 5x) + x = 3(x + 1) + 1

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

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

Reorder the terms:
10 + 6x = 3 + 1 + 3x

Combine like terms: 3 + 1 = 4
10 + 6x = 4 + 3x

Solving
10 + 6x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 6x + -3x = 4 + 3x + -3x

Combine like terms: 6x + -3x = 3x
10 + 3x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 3x = 4 + 0
10 + 3x = 4

Add '-10' to each side of the equation.
10 + -10 + 3x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 4 + -10
3x = 4 + -10

Combine like terms: 4 + -10 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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