3(2x-8)-4=3(x-2)-7

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Solution for 3(2x-8)-4=3(x-2)-7 equation: 


Simplifying
3(2x + -8) + -4 = 3(x + -2) + -7

Reorder the terms:
3(-8 + 2x) + -4 = 3(x + -2) + -7
(-8 * 3 + 2x * 3) + -4 = 3(x + -2) + -7
(-24 + 6x) + -4 = 3(x + -2) + -7

Reorder the terms:
-24 + -4 + 6x = 3(x + -2) + -7

Combine like terms: -24 + -4 = -28
-28 + 6x = 3(x + -2) + -7

Reorder the terms:
-28 + 6x = 3(-2 + x) + -7
-28 + 6x = (-2 * 3 + x * 3) + -7
-28 + 6x = (-6 + 3x) + -7

Reorder the terms:
-28 + 6x = -6 + -7 + 3x

Combine like terms: -6 + -7 = -13
-28 + 6x = -13 + 3x

Solving
-28 + 6x = -13 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-28 + 6x + -3x = -13 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-28 + 3x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + 3x = -13 + 0
-28 + 3x = -13

Add '28' to each side of the equation.
-28 + 28 + 3x = -13 + 28

Combine like terms: -28 + 28 = 0
0 + 3x = -13 + 28
3x = -13 + 28

Combine like terms: -13 + 28 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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