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

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


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

Reorder the terms:
3(5 + x) + 2 = 4(x + 6)
(5 * 3 + x * 3) + 2 = 4(x + 6)
(15 + 3x) + 2 = 4(x + 6)

Reorder the terms:
15 + 2 + 3x = 4(x + 6)

Combine like terms: 15 + 2 = 17
17 + 3x = 4(x + 6)

Reorder the terms:
17 + 3x = 4(6 + x)
17 + 3x = (6 * 4 + x * 4)
17 + 3x = (24 + 4x)

Solving
17 + 3x = 24 + 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.
17 + 3x + -4x = 24 + 4x + -4x

Combine like terms: 3x + -4x = -1x
17 + -1x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -1x = 24 + 0
17 + -1x = 24

Add '-17' to each side of the equation.
17 + -17 + -1x = 24 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 24 + -17
-1x = 24 + -17

Combine like terms: 24 + -17 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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