6+2(x+4)=3(x+5)

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Solution for 6+2(x+4)=3(x+5) equation: 


Simplifying
6 + 2(x + 4) = 3(x + 5)

Reorder the terms:
6 + 2(4 + x) = 3(x + 5)
6 + (4 * 2 + x * 2) = 3(x + 5)
6 + (8 + 2x) = 3(x + 5)

Combine like terms: 6 + 8 = 14
14 + 2x = 3(x + 5)

Reorder the terms:
14 + 2x = 3(5 + x)
14 + 2x = (5 * 3 + x * 3)
14 + 2x = (15 + 3x)

Solving
14 + 2x = 15 + 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.
14 + 2x + -3x = 15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = 15 + 0
14 + -1x = 15

Add '-14' to each side of the equation.
14 + -14 + -1x = 15 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 15 + -14
-1x = 15 + -14

Combine like terms: 15 + -14 = 1
-1x = 1

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

Simplifying
x = -1

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