3(5X-2)+5=7(2X-3)+22

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Solution for 3(5X-2)+5=7(2X-3)+22 equation: 


Simplifying
3(5X + -2) + 5 = 7(2X + -3) + 22

Reorder the terms:
3(-2 + 5X) + 5 = 7(2X + -3) + 22
(-2 * 3 + 5X * 3) + 5 = 7(2X + -3) + 22
(-6 + 15X) + 5 = 7(2X + -3) + 22

Reorder the terms:
-6 + 5 + 15X = 7(2X + -3) + 22

Combine like terms: -6 + 5 = -1
-1 + 15X = 7(2X + -3) + 22

Reorder the terms:
-1 + 15X = 7(-3 + 2X) + 22
-1 + 15X = (-3 * 7 + 2X * 7) + 22
-1 + 15X = (-21 + 14X) + 22

Reorder the terms:
-1 + 15X = -21 + 22 + 14X

Combine like terms: -21 + 22 = 1
-1 + 15X = 1 + 14X

Solving
-1 + 15X = 1 + 14X

Solving for variable 'X'.

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

Add '-14X' to each side of the equation.
-1 + 15X + -14X = 1 + 14X + -14X

Combine like terms: 15X + -14X = 1X
-1 + 1X = 1 + 14X + -14X

Combine like terms: 14X + -14X = 0
-1 + 1X = 1 + 0
-1 + 1X = 1

Add '1' to each side of the equation.
-1 + 1 + 1X = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 1X = 1 + 1
1X = 1 + 1

Combine like terms: 1 + 1 = 2
1X = 2

Divide each side by '1'.
X = 2

Simplifying
X = 2

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