4-6(x+2)=3(2x+1)-8

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Solution for 4-6(x+2)=3(2x+1)-8 equation: 


Simplifying
4 + -6(x + 2) = 3(2x + 1) + -8

Reorder the terms:
4 + -6(2 + x) = 3(2x + 1) + -8
4 + (2 * -6 + x * -6) = 3(2x + 1) + -8
4 + (-12 + -6x) = 3(2x + 1) + -8

Combine like terms: 4 + -12 = -8
-8 + -6x = 3(2x + 1) + -8

Reorder the terms:
-8 + -6x = 3(1 + 2x) + -8
-8 + -6x = (1 * 3 + 2x * 3) + -8
-8 + -6x = (3 + 6x) + -8

Reorder the terms:
-8 + -6x = 3 + -8 + 6x

Combine like terms: 3 + -8 = -5
-8 + -6x = -5 + 6x

Solving
-8 + -6x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + -6x + -6x = -5 + 6x + -6x

Combine like terms: -6x + -6x = -12x
-8 + -12x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + -12x = -5 + 0
-8 + -12x = -5

Add '8' to each side of the equation.
-8 + 8 + -12x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + -12x = -5 + 8
-12x = -5 + 8

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

Divide each side by '-12'.
x = -0.25

Simplifying
x = -0.25

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