2x-5=7(3x+4)+5

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Solution for 2x-5=7(3x+4)+5 equation:


Simplifying
2x + -5 = 7(3x + 4) + 5

Reorder the terms:
-5 + 2x = 7(3x + 4) + 5

Reorder the terms:
-5 + 2x = 7(4 + 3x) + 5
-5 + 2x = (4 * 7 + 3x * 7) + 5
-5 + 2x = (28 + 21x) + 5

Reorder the terms:
-5 + 2x = 28 + 5 + 21x

Combine like terms: 28 + 5 = 33
-5 + 2x = 33 + 21x

Solving
-5 + 2x = 33 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-5 + 2x + -21x = 33 + 21x + -21x

Combine like terms: 2x + -21x = -19x
-5 + -19x = 33 + 21x + -21x

Combine like terms: 21x + -21x = 0
-5 + -19x = 33 + 0
-5 + -19x = 33

Add '5' to each side of the equation.
-5 + 5 + -19x = 33 + 5

Combine like terms: -5 + 5 = 0
0 + -19x = 33 + 5
-19x = 33 + 5

Combine like terms: 33 + 5 = 38
-19x = 38

Divide each side by '-19'.
x = -2

Simplifying
x = -2

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