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

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


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

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

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

Combine like terms: -6 + -8 = -14
-14 + 8x = 4(4 + -2x)
-14 + 8x = (4 * 4 + -2x * 4)
-14 + 8x = (16 + -8x)

Solving
-14 + 8x = 16 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-14 + 8x + 8x = 16 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-14 + 16x = 16 + -8x + 8x

Combine like terms: -8x + 8x = 0
-14 + 16x = 16 + 0
-14 + 16x = 16

Add '14' to each side of the equation.
-14 + 14 + 16x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 16x = 16 + 14
16x = 16 + 14

Combine like terms: 16 + 14 = 30
16x = 30

Divide each side by '16'.
x = 1.875

Simplifying
x = 1.875

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