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

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


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

Reorder the terms:
9 + 3x + -7x = 2(x + 9)

Combine like terms: 3x + -7x = -4x
9 + -4x = 2(x + 9)

Reorder the terms:
9 + -4x = 2(9 + x)
9 + -4x = (9 * 2 + x * 2)
9 + -4x = (18 + 2x)

Solving
9 + -4x = 18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
9 + -4x + -2x = 18 + 2x + -2x

Combine like terms: -4x + -2x = -6x
9 + -6x = 18 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + -6x = 18 + 0
9 + -6x = 18

Add '-9' to each side of the equation.
9 + -9 + -6x = 18 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = 18 + -9
-6x = 18 + -9

Combine like terms: 18 + -9 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5

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