3x-7=(45x-32)

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Solution for 3x-7=(45x-32) equation:


Simplifying
3x + -7 = (45x + -32)

Reorder the terms:
-7 + 3x = (45x + -32)

Reorder the terms:
-7 + 3x = (-32 + 45x)

Remove parenthesis around (-32 + 45x)
-7 + 3x = -32 + 45x

Solving
-7 + 3x = -32 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
-7 + 3x + -45x = -32 + 45x + -45x

Combine like terms: 3x + -45x = -42x
-7 + -42x = -32 + 45x + -45x

Combine like terms: 45x + -45x = 0
-7 + -42x = -32 + 0
-7 + -42x = -32

Add '7' to each side of the equation.
-7 + 7 + -42x = -32 + 7

Combine like terms: -7 + 7 = 0
0 + -42x = -32 + 7
-42x = -32 + 7

Combine like terms: -32 + 7 = -25
-42x = -25

Divide each side by '-42'.
x = 0.5952380952

Simplifying
x = 0.5952380952

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