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

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


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

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

Combine like terms: 6x + 2x = 8x
-3 + 8x = 4 + -3(8 + -1x)
-3 + 8x = 4 + (8 * -3 + -1x * -3)
-3 + 8x = 4 + (-24 + 3x)

Combine like terms: 4 + -24 = -20
-3 + 8x = -20 + 3x

Solving
-3 + 8x = -20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-3 + 8x + -3x = -20 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-3 + 5x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-3 + 5x = -20 + 0
-3 + 5x = -20

Add '3' to each side of the equation.
-3 + 3 + 5x = -20 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = -20 + 3
5x = -20 + 3

Combine like terms: -20 + 3 = -17
5x = -17

Divide each side by '5'.
x = -3.4

Simplifying
x = -3.4

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