7(x+3)=3x+45

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


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

Reorder the terms:
7(3 + x) = 3x + 45
(3 * 7 + x * 7) = 3x + 45
(21 + 7x) = 3x + 45

Reorder the terms:
21 + 7x = 45 + 3x

Solving
21 + 7x = 45 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
21 + 7x + -3x = 45 + 3x + -3x

Combine like terms: 7x + -3x = 4x
21 + 4x = 45 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + 4x = 45 + 0
21 + 4x = 45

Add '-21' to each side of the equation.
21 + -21 + 4x = 45 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = 45 + -21
4x = 45 + -21

Combine like terms: 45 + -21 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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