3(x+4)-5=5x+8

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Solution for 3(x+4)-5=5x+8 equation: 


Simplifying
3(x + 4) + -5 = 5x + 8

Reorder the terms:
3(4 + x) + -5 = 5x + 8
(4 * 3 + x * 3) + -5 = 5x + 8
(12 + 3x) + -5 = 5x + 8

Reorder the terms:
12 + -5 + 3x = 5x + 8

Combine like terms: 12 + -5 = 7
7 + 3x = 5x + 8

Reorder the terms:
7 + 3x = 8 + 5x

Solving
7 + 3x = 8 + 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.
7 + 3x + -5x = 8 + 5x + -5x

Combine like terms: 3x + -5x = -2x
7 + -2x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -2x = 8 + 0
7 + -2x = 8

Add '-7' to each side of the equation.
7 + -7 + -2x = 8 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 8 + -7
-2x = 8 + -7

Combine like terms: 8 + -7 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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