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

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


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

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

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

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

Reorder the terms:
-14 + 8x = 2(2 + x)
-14 + 8x = (2 * 2 + x * 2)
-14 + 8x = (4 + 2x)

Solving
-14 + 8x = 4 + 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 = 4 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-14 + 6x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 6x = 4 + 0
-14 + 6x = 4

Add '14' to each side of the equation.
-14 + 14 + 6x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 4 + 14
6x = 4 + 14

Combine like terms: 4 + 14 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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