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

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


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

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

Reorder the terms:
3 + 6 + 3 + -4x + -6x = 8

Combine like terms: 3 + 6 = 9
9 + 3 + -4x + -6x = 8

Combine like terms: 9 + 3 = 12
12 + -4x + -6x = 8

Combine like terms: -4x + -6x = -10x
12 + -10x = 8

Solving
12 + -10x = 8

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + -10x = 8 + -12

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

Combine like terms: 8 + -12 = -4
-10x = -4

Divide each side by '-10'.
x = 0.4

Simplifying
x = 0.4

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