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

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


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

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

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

Combine like terms: 12 + -2 = 10
10 + 3x = 4(x + 8) + -3

Reorder the terms:
10 + 3x = 4(8 + x) + -3
10 + 3x = (8 * 4 + x * 4) + -3
10 + 3x = (32 + 4x) + -3

Reorder the terms:
10 + 3x = 32 + -3 + 4x

Combine like terms: 32 + -3 = 29
10 + 3x = 29 + 4x

Solving
10 + 3x = 29 + 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.
10 + 3x + -4x = 29 + 4x + -4x

Combine like terms: 3x + -4x = -1x
10 + -1x = 29 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -1x = 29 + 0
10 + -1x = 29

Add '-10' to each side of the equation.
10 + -10 + -1x = 29 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 29 + -10
-1x = 29 + -10

Combine like terms: 29 + -10 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19

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