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

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


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

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

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

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

Combine like terms: 12 + 4 = 16
16 + -2x = 4(2 + -3x)
16 + -2x = (2 * 4 + -3x * 4)
16 + -2x = (8 + -12x)

Solving
16 + -2x = 8 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
16 + -2x + 12x = 8 + -12x + 12x

Combine like terms: -2x + 12x = 10x
16 + 10x = 8 + -12x + 12x

Combine like terms: -12x + 12x = 0
16 + 10x = 8 + 0
16 + 10x = 8

Add '-16' to each side of the equation.
16 + -16 + 10x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 10x = 8 + -16
10x = 8 + -16

Combine like terms: 8 + -16 = -8
10x = -8

Divide each side by '10'.
x = -0.8

Simplifying
x = -0.8

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