3(x+6)-4=6(x+2)-7

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Solution for 3(x+6)-4=6(x+2)-7 equation: 


Simplifying
3(x + 6) + -4 = 6(x + 2) + -7

Reorder the terms:
3(6 + x) + -4 = 6(x + 2) + -7
(6 * 3 + x * 3) + -4 = 6(x + 2) + -7
(18 + 3x) + -4 = 6(x + 2) + -7

Reorder the terms:
18 + -4 + 3x = 6(x + 2) + -7

Combine like terms: 18 + -4 = 14
14 + 3x = 6(x + 2) + -7

Reorder the terms:
14 + 3x = 6(2 + x) + -7
14 + 3x = (2 * 6 + x * 6) + -7
14 + 3x = (12 + 6x) + -7

Reorder the terms:
14 + 3x = 12 + -7 + 6x

Combine like terms: 12 + -7 = 5
14 + 3x = 5 + 6x

Solving
14 + 3x = 5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + 3x + -6x = 5 + 6x + -6x

Combine like terms: 3x + -6x = -3x
14 + -3x = 5 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -3x = 5 + 0
14 + -3x = 5

Add '-14' to each side of the equation.
14 + -14 + -3x = 5 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 5 + -14
-3x = 5 + -14

Combine like terms: 5 + -14 = -9
-3x = -9

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

Simplifying
x = 3

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