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

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Solution for 6(x+3)+5=4(x+1)+3 equation: 


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

Reorder the terms:
6(3 + x) + 5 = 4(x + 1) + 3
(3 * 6 + x * 6) + 5 = 4(x + 1) + 3
(18 + 6x) + 5 = 4(x + 1) + 3

Reorder the terms:
18 + 5 + 6x = 4(x + 1) + 3

Combine like terms: 18 + 5 = 23
23 + 6x = 4(x + 1) + 3

Reorder the terms:
23 + 6x = 4(1 + x) + 3
23 + 6x = (1 * 4 + x * 4) + 3
23 + 6x = (4 + 4x) + 3

Reorder the terms:
23 + 6x = 4 + 3 + 4x

Combine like terms: 4 + 3 = 7
23 + 6x = 7 + 4x

Solving
23 + 6x = 7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
23 + 6x + -4x = 7 + 4x + -4x

Combine like terms: 6x + -4x = 2x
23 + 2x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
23 + 2x = 7 + 0
23 + 2x = 7

Add '-23' to each side of the equation.
23 + -23 + 2x = 7 + -23

Combine like terms: 23 + -23 = 0
0 + 2x = 7 + -23
2x = 7 + -23

Combine like terms: 7 + -23 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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