3(x+4)=5(x+6)+32

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Solution for 3(x+4)=5(x+6)+32 equation: 


Simplifying
3(x + 4) = 5(x + 6) + 32

Reorder the terms:
3(4 + x) = 5(x + 6) + 32
(4 * 3 + x * 3) = 5(x + 6) + 32
(12 + 3x) = 5(x + 6) + 32

Reorder the terms:
12 + 3x = 5(6 + x) + 32
12 + 3x = (6 * 5 + x * 5) + 32
12 + 3x = (30 + 5x) + 32

Reorder the terms:
12 + 3x = 30 + 32 + 5x

Combine like terms: 30 + 32 = 62
12 + 3x = 62 + 5x

Solving
12 + 3x = 62 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 3x + -5x = 62 + 5x + -5x

Combine like terms: 3x + -5x = -2x
12 + -2x = 62 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -2x = 62 + 0
12 + -2x = 62

Add '-12' to each side of the equation.
12 + -12 + -2x = 62 + -12

Combine like terms: 12 + -12 = 0
0 + -2x = 62 + -12
-2x = 62 + -12

Combine like terms: 62 + -12 = 50
-2x = 50

Divide each side by '-2'.
x = -25

Simplifying
x = -25

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