2(3x-7)=6(5x+9)+28

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Solution for 2(3x-7)=6(5x+9)+28 equation: 


Simplifying
2(3x + -7) = 6(5x + 9) + 28

Reorder the terms:
2(-7 + 3x) = 6(5x + 9) + 28
(-7 * 2 + 3x * 2) = 6(5x + 9) + 28
(-14 + 6x) = 6(5x + 9) + 28

Reorder the terms:
-14 + 6x = 6(9 + 5x) + 28
-14 + 6x = (9 * 6 + 5x * 6) + 28
-14 + 6x = (54 + 30x) + 28

Reorder the terms:
-14 + 6x = 54 + 28 + 30x

Combine like terms: 54 + 28 = 82
-14 + 6x = 82 + 30x

Solving
-14 + 6x = 82 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-14 + 6x + -30x = 82 + 30x + -30x

Combine like terms: 6x + -30x = -24x
-14 + -24x = 82 + 30x + -30x

Combine like terms: 30x + -30x = 0
-14 + -24x = 82 + 0
-14 + -24x = 82

Add '14' to each side of the equation.
-14 + 14 + -24x = 82 + 14

Combine like terms: -14 + 14 = 0
0 + -24x = 82 + 14
-24x = 82 + 14

Combine like terms: 82 + 14 = 96
-24x = 96

Divide each side by '-24'.
x = -4

Simplifying
x = -4

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