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

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


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

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

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

Reorder the terms:
12 + -4x = 3(2 + x) + x
12 + -4x = (2 * 3 + x * 3) + x
12 + -4x = (6 + 3x) + x

Combine like terms: 3x + x = 4x
12 + -4x = 6 + 4x

Solving
12 + -4x = 6 + 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.
12 + -4x + -4x = 6 + 4x + -4x

Combine like terms: -4x + -4x = -8x
12 + -8x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
12 + -8x = 6 + 0
12 + -8x = 6

Add '-12' to each side of the equation.
12 + -12 + -8x = 6 + -12

Combine like terms: 12 + -12 = 0
0 + -8x = 6 + -12
-8x = 6 + -12

Combine like terms: 6 + -12 = -6
-8x = -6

Divide each side by '-8'.
x = 0.75

Simplifying
x = 0.75

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