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

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Solution for 4(x+1)+2x=3(x+5)+1 equation: 


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

Reorder the terms:
4(1 + x) + 2x = 3(x + 5) + 1
(1 * 4 + x * 4) + 2x = 3(x + 5) + 1
(4 + 4x) + 2x = 3(x + 5) + 1

Combine like terms: 4x + 2x = 6x
4 + 6x = 3(x + 5) + 1

Reorder the terms:
4 + 6x = 3(5 + x) + 1
4 + 6x = (5 * 3 + x * 3) + 1
4 + 6x = (15 + 3x) + 1

Reorder the terms:
4 + 6x = 15 + 1 + 3x

Combine like terms: 15 + 1 = 16
4 + 6x = 16 + 3x

Solving
4 + 6x = 16 + 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.
4 + 6x + -3x = 16 + 3x + -3x

Combine like terms: 6x + -3x = 3x
4 + 3x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 3x = 16 + 0
4 + 3x = 16

Add '-4' to each side of the equation.
4 + -4 + 3x = 16 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 16 + -4
3x = 16 + -4

Combine like terms: 16 + -4 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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