(3x+45)=(7x+5)

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Solution for (3x+45)=(7x+5) equation:


Simplifying
(3x + 45) = (7x + 5)

Reorder the terms:
(45 + 3x) = (7x + 5)

Remove parenthesis around (45 + 3x)
45 + 3x = (7x + 5)

Reorder the terms:
45 + 3x = (5 + 7x)

Remove parenthesis around (5 + 7x)
45 + 3x = 5 + 7x

Solving
45 + 3x = 5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
45 + 3x + -7x = 5 + 7x + -7x

Combine like terms: 3x + -7x = -4x
45 + -4x = 5 + 7x + -7x

Combine like terms: 7x + -7x = 0
45 + -4x = 5 + 0
45 + -4x = 5

Add '-45' to each side of the equation.
45 + -45 + -4x = 5 + -45

Combine like terms: 45 + -45 = 0
0 + -4x = 5 + -45
-4x = 5 + -45

Combine like terms: 5 + -45 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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