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

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


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

Reorder the terms:
4(-3 + 2x) = 6 + -1(3 + -2x)
(-3 * 4 + 2x * 4) = 6 + -1(3 + -2x)
(-12 + 8x) = 6 + -1(3 + -2x)
-12 + 8x = 6 + (3 * -1 + -2x * -1)
-12 + 8x = 6 + (-3 + 2x)

Combine like terms: 6 + -3 = 3
-12 + 8x = 3 + 2x

Solving
-12 + 8x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-12 + 8x + -2x = 3 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-12 + 6x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 6x = 3 + 0
-12 + 6x = 3

Add '12' to each side of the equation.
-12 + 12 + 6x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 3 + 12
6x = 3 + 12

Combine like terms: 3 + 12 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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