3(x+4)+4=5(x-3)+14

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Solution for 3(x+4)+4=5(x-3)+14 equation: 


Simplifying
3(x + 4) + 4 = 5(x + -3) + 14

Reorder the terms:
3(4 + x) + 4 = 5(x + -3) + 14
(4 * 3 + x * 3) + 4 = 5(x + -3) + 14
(12 + 3x) + 4 = 5(x + -3) + 14

Reorder the terms:
12 + 4 + 3x = 5(x + -3) + 14

Combine like terms: 12 + 4 = 16
16 + 3x = 5(x + -3) + 14

Reorder the terms:
16 + 3x = 5(-3 + x) + 14
16 + 3x = (-3 * 5 + x * 5) + 14
16 + 3x = (-15 + 5x) + 14

Reorder the terms:
16 + 3x = -15 + 14 + 5x

Combine like terms: -15 + 14 = -1
16 + 3x = -1 + 5x

Solving
16 + 3x = -1 + 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.
16 + 3x + -5x = -1 + 5x + -5x

Combine like terms: 3x + -5x = -2x
16 + -2x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -2x = -1 + 0
16 + -2x = -1

Add '-16' to each side of the equation.
16 + -16 + -2x = -1 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -1 + -16
-2x = -1 + -16

Combine like terms: -1 + -16 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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