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

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


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

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

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

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

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

Solving
5 + 3x = 45 + 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.
5 + 3x + -7x = 45 + 7x + -7x

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

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

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

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

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

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

Simplifying
x = -10

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