6+2(x+1)=4+3(x+4)

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Solution for 6+2(x+1)=4+3(x+4) equation: 


Simplifying
6 + 2(x + 1) = 4 + 3(x + 4)

Reorder the terms:
6 + 2(1 + x) = 4 + 3(x + 4)
6 + (1 * 2 + x * 2) = 4 + 3(x + 4)
6 + (2 + 2x) = 4 + 3(x + 4)

Combine like terms: 6 + 2 = 8
8 + 2x = 4 + 3(x + 4)

Reorder the terms:
8 + 2x = 4 + 3(4 + x)
8 + 2x = 4 + (4 * 3 + x * 3)
8 + 2x = 4 + (12 + 3x)

Combine like terms: 4 + 12 = 16
8 + 2x = 16 + 3x

Solving
8 + 2x = 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.
8 + 2x + -3x = 16 + 3x + -3x

Combine like terms: 2x + -3x = -1x
8 + -1x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -1x = 16 + 0
8 + -1x = 16

Add '-8' to each side of the equation.
8 + -8 + -1x = 16 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 16 + -8
-1x = 16 + -8

Combine like terms: 16 + -8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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