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

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


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

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

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

Combine like terms: -6 + -8 = -14
-14 + 8x = 2(3 + -1x)
-14 + 8x = (3 * 2 + -1x * 2)
-14 + 8x = (6 + -2x)

Solving
-14 + 8x = 6 + -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.
-14 + 8x + 2x = 6 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-14 + 10x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 10x = 6 + 0
-14 + 10x = 6

Add '14' to each side of the equation.
-14 + 14 + 10x = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 10x = 6 + 14
10x = 6 + 14

Combine like terms: 6 + 14 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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