3(x+4)-2=8x-5

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Solution for 3(x+4)-2=8x-5 equation: 


Simplifying
3(x + 4) + -2 = 8x + -5

Reorder the terms:
3(4 + x) + -2 = 8x + -5
(4 * 3 + x * 3) + -2 = 8x + -5
(12 + 3x) + -2 = 8x + -5

Reorder the terms:
12 + -2 + 3x = 8x + -5

Combine like terms: 12 + -2 = 10
10 + 3x = 8x + -5

Reorder the terms:
10 + 3x = -5 + 8x

Solving
10 + 3x = -5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
10 + 3x + -8x = -5 + 8x + -8x

Combine like terms: 3x + -8x = -5x
10 + -5x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -5x = -5 + 0
10 + -5x = -5

Add '-10' to each side of the equation.
10 + -10 + -5x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = -5 + -10
-5x = -5 + -10

Combine like terms: -5 + -10 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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