3(x+7)+9x=4x+45

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Solution for 3(x+7)+9x=4x+45 equation:


Simplifying
3(x + 7) + 9x = 4x + 45

Reorder the terms:
3(7 + x) + 9x = 4x + 45
(7 * 3 + x * 3) + 9x = 4x + 45
(21 + 3x) + 9x = 4x + 45

Combine like terms: 3x + 9x = 12x
21 + 12x = 4x + 45

Reorder the terms:
21 + 12x = 45 + 4x

Solving
21 + 12x = 45 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
21 + 12x + -4x = 45 + 4x + -4x

Combine like terms: 12x + -4x = 8x
21 + 8x = 45 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + 8x = 45 + 0
21 + 8x = 45

Add '-21' to each side of the equation.
21 + -21 + 8x = 45 + -21

Combine like terms: 21 + -21 = 0
0 + 8x = 45 + -21
8x = 45 + -21

Combine like terms: 45 + -21 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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