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

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


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

Reorder the terms:
4(-8 + 2x) + -2 = 4(x + -3) + 2
(-8 * 4 + 2x * 4) + -2 = 4(x + -3) + 2
(-32 + 8x) + -2 = 4(x + -3) + 2

Reorder the terms:
-32 + -2 + 8x = 4(x + -3) + 2

Combine like terms: -32 + -2 = -34
-34 + 8x = 4(x + -3) + 2

Reorder the terms:
-34 + 8x = 4(-3 + x) + 2
-34 + 8x = (-3 * 4 + x * 4) + 2
-34 + 8x = (-12 + 4x) + 2

Reorder the terms:
-34 + 8x = -12 + 2 + 4x

Combine like terms: -12 + 2 = -10
-34 + 8x = -10 + 4x

Solving
-34 + 8x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-34 + 8x + -4x = -10 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-34 + 4x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-34 + 4x = -10 + 0
-34 + 4x = -10

Add '34' to each side of the equation.
-34 + 34 + 4x = -10 + 34

Combine like terms: -34 + 34 = 0
0 + 4x = -10 + 34
4x = -10 + 34

Combine like terms: -10 + 34 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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