-3(4x-7)+9x=3(x+2)

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Solution for -3(4x-7)+9x=3(x+2) equation:


Simplifying
-3(4x + -7) + 9x = 3(x + 2)

Reorder the terms:
-3(-7 + 4x) + 9x = 3(x + 2)
(-7 * -3 + 4x * -3) + 9x = 3(x + 2)
(21 + -12x) + 9x = 3(x + 2)

Combine like terms: -12x + 9x = -3x
21 + -3x = 3(x + 2)

Reorder the terms:
21 + -3x = 3(2 + x)
21 + -3x = (2 * 3 + x * 3)
21 + -3x = (6 + 3x)

Solving
21 + -3x = 6 + 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 + -3x + -3x = 6 + 3x + -3x

Combine like terms: -3x + -3x = -6x
21 + -6x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + -6x = 6 + 0
21 + -6x = 6

Add '-21' to each side of the equation.
21 + -21 + -6x = 6 + -21

Combine like terms: 21 + -21 = 0
0 + -6x = 6 + -21
-6x = 6 + -21

Combine like terms: 6 + -21 = -15
-6x = -15

Divide each side by '-6'.
x = 2.5

Simplifying
x = 2.5

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