3(x-2)-8=68-2(2x-1)

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Solution for 3(x-2)-8=68-2(2x-1) equation:


Simplifying
3(x + -2) + -8 = 68 + -2(2x + -1)

Reorder the terms:
3(-2 + x) + -8 = 68 + -2(2x + -1)
(-2 * 3 + x * 3) + -8 = 68 + -2(2x + -1)
(-6 + 3x) + -8 = 68 + -2(2x + -1)

Reorder the terms:
-6 + -8 + 3x = 68 + -2(2x + -1)

Combine like terms: -6 + -8 = -14
-14 + 3x = 68 + -2(2x + -1)

Reorder the terms:
-14 + 3x = 68 + -2(-1 + 2x)
-14 + 3x = 68 + (-1 * -2 + 2x * -2)
-14 + 3x = 68 + (2 + -4x)

Combine like terms: 68 + 2 = 70
-14 + 3x = 70 + -4x

Solving
-14 + 3x = 70 + -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.
-14 + 3x + 4x = 70 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-14 + 7x = 70 + -4x + 4x

Combine like terms: -4x + 4x = 0
-14 + 7x = 70 + 0
-14 + 7x = 70

Add '14' to each side of the equation.
-14 + 14 + 7x = 70 + 14

Combine like terms: -14 + 14 = 0
0 + 7x = 70 + 14
7x = 70 + 14

Combine like terms: 70 + 14 = 84
7x = 84

Divide each side by '7'.
x = 12

Simplifying
x = 12

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