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

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


Simplifying
2 + -3(4 + -1x) = 6 + 4(2x + 1)
2 + (4 * -3 + -1x * -3) = 6 + 4(2x + 1)
2 + (-12 + 3x) = 6 + 4(2x + 1)

Combine like terms: 2 + -12 = -10
-10 + 3x = 6 + 4(2x + 1)

Reorder the terms:
-10 + 3x = 6 + 4(1 + 2x)
-10 + 3x = 6 + (1 * 4 + 2x * 4)
-10 + 3x = 6 + (4 + 8x)

Combine like terms: 6 + 4 = 10
-10 + 3x = 10 + 8x

Solving
-10 + 3x = 10 + 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 = 10 + 8x + -8x

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

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

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

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

Combine like terms: 10 + 10 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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