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

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


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

Reorder the terms:
8 + -2x = -3 + 2 + 6x

Combine like terms: -3 + 2 = -1
8 + -2x = -1 + 6x

Solving
8 + -2x = -1 + 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 + -2x + -6x = -1 + 6x + -6x

Combine like terms: -2x + -6x = -8x
8 + -8x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
8 + -8x = -1 + 0
8 + -8x = -1

Add '-8' to each side of the equation.
8 + -8 + -8x = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -8x = -1 + -8
-8x = -1 + -8

Combine like terms: -1 + -8 = -9
-8x = -9

Divide each side by '-8'.
x = 1.125

Simplifying
x = 1.125

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