6(x+3)-2=4(x+1)+14

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Solution for 6(x+3)-2=4(x+1)+14 equation: 


Simplifying
6(x + 3) + -2 = 4(x + 1) + 14

Reorder the terms:
6(3 + x) + -2 = 4(x + 1) + 14
(3 * 6 + x * 6) + -2 = 4(x + 1) + 14
(18 + 6x) + -2 = 4(x + 1) + 14

Reorder the terms:
18 + -2 + 6x = 4(x + 1) + 14

Combine like terms: 18 + -2 = 16
16 + 6x = 4(x + 1) + 14

Reorder the terms:
16 + 6x = 4(1 + x) + 14
16 + 6x = (1 * 4 + x * 4) + 14
16 + 6x = (4 + 4x) + 14

Reorder the terms:
16 + 6x = 4 + 14 + 4x

Combine like terms: 4 + 14 = 18
16 + 6x = 18 + 4x

Solving
16 + 6x = 18 + 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.
16 + 6x + -4x = 18 + 4x + -4x

Combine like terms: 6x + -4x = 2x
16 + 2x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + 2x = 18 + 0
16 + 2x = 18

Add '-16' to each side of the equation.
16 + -16 + 2x = 18 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 18 + -16
2x = 18 + -16

Combine like terms: 18 + -16 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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