3(7x-9)=5(4x+3)-28

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Solution for 3(7x-9)=5(4x+3)-28 equation:


Simplifying
3(7x + -9) = 5(4x + 3) + -28

Reorder the terms:
3(-9 + 7x) = 5(4x + 3) + -28
(-9 * 3 + 7x * 3) = 5(4x + 3) + -28
(-27 + 21x) = 5(4x + 3) + -28

Reorder the terms:
-27 + 21x = 5(3 + 4x) + -28
-27 + 21x = (3 * 5 + 4x * 5) + -28
-27 + 21x = (15 + 20x) + -28

Reorder the terms:
-27 + 21x = 15 + -28 + 20x

Combine like terms: 15 + -28 = -13
-27 + 21x = -13 + 20x

Solving
-27 + 21x = -13 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-27 + 21x + -20x = -13 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-27 + 1x = -13 + 20x + -20x

Combine like terms: 20x + -20x = 0
-27 + 1x = -13 + 0
-27 + 1x = -13

Add '27' to each side of the equation.
-27 + 27 + 1x = -13 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = -13 + 27
1x = -13 + 27

Combine like terms: -13 + 27 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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