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

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


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

Reorder the terms:
2(-7 + 5x) = 6(5x + 9) + 28
(-7 * 2 + 5x * 2) = 6(5x + 9) + 28
(-14 + 10x) = 6(5x + 9) + 28

Reorder the terms:
-14 + 10x = 6(9 + 5x) + 28
-14 + 10x = (9 * 6 + 5x * 6) + 28
-14 + 10x = (54 + 30x) + 28

Reorder the terms:
-14 + 10x = 54 + 28 + 30x

Combine like terms: 54 + 28 = 82
-14 + 10x = 82 + 30x

Solving
-14 + 10x = 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 + 10x + -30x = 82 + 30x + -30x

Combine like terms: 10x + -30x = -20x
-14 + -20x = 82 + 30x + -30x

Combine like terms: 30x + -30x = 0
-14 + -20x = 82 + 0
-14 + -20x = 82

Add '14' to each side of the equation.
-14 + 14 + -20x = 82 + 14

Combine like terms: -14 + 14 = 0
0 + -20x = 82 + 14
-20x = 82 + 14

Combine like terms: 82 + 14 = 96
-20x = 96

Divide each side by '-20'.
x = -4.8

Simplifying
x = -4.8

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